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La ecuación:
Ecuación 6x+1=-4x
Ecuación x+y-3=0
Ecuación x^2=-3
Ecuación 9-7(x+3)=5-6x
Expresar {x} en función de y en la ecuación:
-11*x+9*y=-20
5*x-14*y=-15
-10*x+15*y=10
-9*x-6*y=12
Expresiones idénticas
log(y^ dos + tres)/ dos =log(x^ dos + dos)/ tres
logaritmo de (y al cuadrado más 3) dividir por 2 es igual a logaritmo de (x al cuadrado más 2) dividir por 3
logaritmo de (y en el grado dos más tres) dividir por dos es igual a logaritmo de (x en el grado dos más dos) dividir por tres
log(y2+3)/2=log(x2+2)/3
logy2+3/2=logx2+2/3
log(y²+3)/2=log(x²+2)/3
log(y en el grado 2+3)/2=log(x en el grado 2+2)/3
logy^2+3/2=logx^2+2/3
log(y^2+3) dividir por 2=log(x^2+2) dividir por 3
Expresiones semejantes
log(y^2-3)/2=log(x^2+2)/3
log(y^2+3)/2=log(x^2-2)/3
Expresiones con funciones
Logaritmo log
log(5)*sqrt(x-1)^2-10=6*log(5)*(|x-1|)
log(y)=-x^2/4
log(t)+k*t-log(b)-k*b=k*m*a*c
log3(x-2)+log3x=log38
log2cos(x)=0.2
Logaritmo log
log(5)*sqrt(x-1)^2-10=6*log(5)*(|x-1|)
log(y)=-x^2/4
log(t)+k*t-log(b)-k*b=k*m*a*c
log3(x-2)+log3x=log38
log2cos(x)=0.2

log(y^2+3)/2=log(x^2+2)/3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   / 2    \      / 2    \
log\y  + 3/   log\x  + 2/
----------- = -----------
     2             3

\frac{\log{\left(y^{2} + 3 \right)}}{2} = \frac{\log{\left(x^{2} + 2 \right)}}{3}

Simplificar

Gráfica

Respuesta rápida [src]

              __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\            __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\
             /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||           /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||
            /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||          /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||
           /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||         /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||
          /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|        /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|
x1 = - 4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
       \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /     \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /

x_{1} = - i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} - \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}

            __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\            __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\
           /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||           /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||
          /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||          /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||
         /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||         /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||
        /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|        /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|
x2 = 4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
     \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /     \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /

x_{2} = i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} + \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}

x2 = i*((((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y, re(y)^2 - im(y)^2 + 3)/2) - 2)^2 + ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/2)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2)^2)^(1/4)*sin(atan2(((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2), ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2) - 2)/2) + ((((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2) - 2)^2 + ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/2)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2)^2)^(1/4)*cos(atan2(((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*sin(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2), ((re(y)^2 - im(y)^2 + 3)^2 + 4*re(y)^2*im(y)^2)^(3/4)*cos(3*atan2(2*re(y)*im(y), re(y)^2 - im(y)^2 + 3)/2) - 2)/2))

Suma y producto de raíces [src]

suma

         __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\            __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\          __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\            __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\
        /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||           /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||         /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||           /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||
       /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||          /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||        /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||          /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||
      /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||         /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||       /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||         /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||
     /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|        /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|      /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|        /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|
- 4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
  \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /     \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /   \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /     \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /

\left(- i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} - \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} + \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right)

0

producto

/         __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\            __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\\ /       __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\            __________________________________________________________________________________________________________________________________________________________________________________________________________    /     /                                          3/4                                                                                                  3/4                                                 \\\
|        /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||           /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||| |      /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\||           /                                                                                                      2                                                                                                       |     |/                     2                  \       /       /                     2        2   \\       /                     2                  \       /       /                     2        2   \\|||
|       /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||          /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||| |     /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|||          /  /                                               3/4                                                 \                                              3/2                                                       |     ||/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||||
|      /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||         /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||| |    /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------|||         /   |     /                     2                  \       /       /                     2        2   \\|    /                     2                  \        /       /                     2        2   \\     |atan2|\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin|-------------------------------------------|, -2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||||
|     /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|        /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|| |   /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //|        /    |     |/      2        2   \        2      2   |       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/||    |/      2        2   \        2      2   |       2|3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|     |     \                                                 \                     2                     /                                                        \                     2                     //||
|- 4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - I*4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *cos|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*4 /     |-2 + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *cos|-------------------------------------------||  + \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *sin |-------------------------------------------| *sin|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||
\  \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /     \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     // \\/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     /     \/      \                                                      \                     2                     //                                                      \                     2                     /     \                                                                                                    2                                                                                                     //

\left(- i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} - \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)} + \sqrt[4]{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2\right)^{2} + \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{2}} \sin^{2}{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \sin{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)},\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} - 2 \right)}}{2} \right)}\right)

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |                                             3/4                                                        -3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/                                                  3/4                                                       -3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |   /                     2                  \    /               /                     2        2   \\  ----------------------------------------------        /                     2                  \    /              /                     2        2   \\  ----------------------------------------------|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |   |/      2        2   \        2      2   |    |      3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|                        2                               |/      2        2   \        2      2   |    |     3*I*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|                        2                       |
      _____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________         |-I*\\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *\-1 + e                                             /*e                                                      \\3 + re (y) - im (y)/  + 4*im (y)*re (y)/   *\1 + e                                             /*e                                              |
     /          _____________________________________________________________      _____________________________________________________________             _____________________________________________________________               _____________________________________________________________                                                                         3/4    /       /                     2        2   \\        _____________________________________________________________               _____________________________________________________________                 I*atan2|-------------------------------------------------------------------------------------------------------------------------------------------------------, -2 + --------------------------------------------------------------------------------------------------------------------------------------------------|
    /          /       4        4          2          2          2      2         /       4        4          2          2          2      2       4        /       4        4          2          2          2      2       4          /       4        4          2          2          2      2       2        /      4        4          2          2          2      2   \       |3*atan2\2*im(y)*re(y), 3 + re (y) - im (y)/|       /       4        4          2          2          2      2       2          /       4        4          2          2          2      2       2      2             \                                                                           2                                                                                                                                                          2                                                                         /
-  /   4 + 9*\/  9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y)  + \/  9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *im (y) + \/  9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *re (y) - 6*\/  9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *im (y) - 4*\9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y)/   *cos|-------------------------------------------| + 6*\/  9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *re (y) + 2*\/  9 + im (y) + re (y) - 6*im (y) + 6*re (y) + 2*im (y)*re (y) *im (y)*re (y) *e                                                                                                                                                                                                                                                                                                                         
 \/                                                                                                                                                                                                                                                                                                                                                                                   \                     2                     /

- \sqrt{- 4 \left(\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9\right)^{\frac{3}{4}} \cos{\left(\frac{3 \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2} \right)} + \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{re}{\left(y\right)}\right)^{2} + \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9 \sqrt{\left(\operatorname{re}{\left(y\right)}\right)^{4} + 2 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2} + 6 \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{4} - 6 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 9} + 4} e^{i \operatorname{atan_{2}}{\left(- \frac{i \left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \left(e^{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}} - 1\right) e^{- \frac{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2}}}{2},\frac{\left(\left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3\right)^{2} + 4 \left(\operatorname{re}{\left(y\right)}\right)^{2} \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{\frac{3}{4}} \left(e^{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}} + 1\right) e^{- \frac{3 i \operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + 3 \right)}}{2}}}{2} - 2 \right)}}

-sqrt(4 + 9*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2) + sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*im(y)^4 + sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*re(y)^4 - 6*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*im(y)^2 - 4*(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)^(3/4)*cos(3*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)/2) + 6*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*re(y)^2 + 2*sqrt(9 + im(y)^4 + re(y)^4 - 6*im(y)^2 + 6*re(y)^2 + 2*im(y)^2*re(y)^2)*im(y)^2*re(y)^2)*exp(i*atan2(-i*((3 + re(y)^2 - im(y)^2)^2 + 4*im(y)^2*re(y)^2)^(3/4)*(-1 + exp(3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)))*exp(-3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)/2)/2, -2 + ((3 + re(y)^2 - im(y)^2)^2 + 4*im(y)^2*re(y)^2)^(3/4)*(1 + exp(3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)))*exp(-3*i*atan2(2*im(y)*re(y), 3 + re(y)^2 - im(y)^2)/2)/2))

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log(y^2+3)/2=log(x^2+2)/3 la ecuación

Solución numérica:

Solución