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La ecuación:
Ecuación 4^x-3*2^x+2=0
Ecuación (x-2)/(x-7)=5/8
Ecuación 4/(x-4)=-5
Ecuación (x-6)^2=-24*x
Expresar {x} en función de y en la ecuación:
20*x+5*y=-3
-11*x-14*y=-3
20*x+18*y=-9
-2*x+2*y=4
Expresión:
xy
Forma canónica:
xy
Integral de d{x}:
xy
Expresiones idénticas
xy=4Scrt(dos x^ dos +y^2+y)
xy es igual a 4Scrt(2x al cuadrado más y al cuadrado más y)
xy es igual a 4Scrt(dos x en el grado dos más y al cuadrado más y)
xy=4Scrt(2x2+y2+y)
xy=4Scrt2x2+y2+y
xy=4Scrt(2x²+y²+y)
xy=4Scrt(2x en el grado 2+y en el grado 2+y)
xy=4Scrt2x^2+y^2+y
Expresiones semejantes
xy=4Scrt(2x^2+y^2-y)
xy=4Scrt(2x^2-y^2+y)
x^y=y^x
(x^y)*y
Expresiones con funciones
xy
xy+3y-2yx+4x+c
xy=y-1
xy-y=x3lnc
xy=24
Xy=1+x^(2)

xy=4Scrt(2x^2+y^2+y) la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

           _______________
          /    2    2     
x*y = 4*\/  2*x  + y  + y

x y = 4 \sqrt{y + \left(2 x^{2} + y^{2}\right)}

Simplificar

Solución detallada

Tenemos la ecuación

x y = 4 \sqrt{y + \left(2 x^{2} + y^{2}\right)}

Transpongamos la parte derecha de la ecuación miembro izquierdo de la ecuación con el signo negativo

- 4 \sqrt{2 x^{2} + y^{2} + y} = - x y

Elevemos las dos partes de la ecuación a la potencia 2

32 x^{2} + 16 y^{2} + 16 y = x^{2} y^{2}

32 x^{2} + 16 y^{2} + 16 y = x^{2} y^{2}

Transpongamos la parte derecha de la ecuación miembro izquierdo de la ecuación con el signo negativo

- x^{2} y^{2} + 32 x^{2} + 16 y^{2} + 16 y = 0

Es la ecuación de la forma

a*y^2 + b*y + c = 0

La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:

y_{1} = \frac{\sqrt{D} - b}{2 a}

y_{2} = \frac{- \sqrt{D} - b}{2 a}

donde D = b^2 - 4*a*c es el discriminante.
Como

a = 16 - x^{2}

b = 16

c = 32 x^{2}

, entonces

D = b^2 - 4 * a * c =

(16)^2 - 4 * (16 - x^2) * (32*x^2) = 256 - 32*x^2*(64 - 4*x^2)

La ecuación tiene dos raíces.

y1 = (-b + sqrt(D)) / (2*a)

y2 = (-b - sqrt(D)) / (2*a)

y_{1} = \frac{\sqrt{- 32 x^{2} \left(64 - 4 x^{2}\right) + 256} - 16}{32 - 2 x^{2}}

y_{2} = \frac{- \sqrt{- 32 x^{2} \left(64 - 4 x^{2}\right) + 256} - 16}{32 - 2 x^{2}}

Gráfica

Respuesta rápida [src]

       /        ______________________________________________________________________________________________________________________________                                                                                                                                                               /          ______________________________________________________________________________________________________________________________                                                                                                                                  \            \   /          ______________________________________________________________________________________________________________________________                                                                                                                                  \                                 ______________________________________________________________________________________________________________________________                                                                                                                                              
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       |    4 /  /                      3                3         \    /         2          4          4           2           2      2   \   /        2        2   \    |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/|     |      4 /  /                      3                3         \    /         2          4          4           2           2      2   \      |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/||            |   |      4 /  /                      3                3         \    /         2          4          4           2           2      2   \      |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/|| /        2        2   \     4 /  /                      3                3         \    /         2          4          4           2           2      2   \                  |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/|
       |  4*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *\-16 + re (x) - im (x)/*sin|----------------------------------------------------------------------------------------------------------------------------|   2*|8 - 4*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *cos|----------------------------------------------------------------------------------------------------------------------------||*im(x)*re(x)|   |8 - 4*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *cos|----------------------------------------------------------------------------------------------------------------------------||*\-16 + re (x) - im (x)/   8*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *im(x)*re(x)*sin|----------------------------------------------------------------------------------------------------------------------------|
       |                                                                                                                                                                  \                                                             2                                                              /     \                                                                                                                                            \                                                             2                                                              //            |   \                                                                                                                                            \                                                             2                                                              //                                                                                                                                                                               \                                                             2                                                              /
y1 = I*|- ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                                                                                   2                                                                                                                                                                                                                                                                                              2                                                                                                                                          |                                                                                                                                                       2                                                                                                                                                                                                                                                                                             2                                                                                                                                      
       |                                                                                                                            /        2        2   \        2      2                                                                                                                                                                                                                                                        /        2        2   \        2      2                                                                                                                           |                                                                                                                                /        2        2   \        2      2                                                                                                                                                                                                                                                       /        2        2   \        2      2                                                                                                                       
       \                                                                                                                            \-16 + re (x) - im (x)/  + 4*im (x)*re (x)                                                                                                                                                                                                                                                     \-16 + re (x) - im (x)/  + 4*im (x)*re (x)                                                                                                                        /                                                                                                                                \-16 + re (x) - im (x)/  + 4*im (x)*re (x)                                                                                                                                                                                                                                                    \-16 + re (x) - im (x)/  + 4*im (x)*re (x)

y_{1} = \frac{\left(- 4 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)} + 8\right) \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} + i \left(- \frac{2 \left(- 4 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)} + 8\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} - \frac{4 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)}}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) - \frac{8 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)} \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}}

       /    /          ______________________________________________________________________________________________________________________________                                                                                                                                  \                     ______________________________________________________________________________________________________________________________                                                                                                                                                          \   /          ______________________________________________________________________________________________________________________________                                                                                                                                  \                                 ______________________________________________________________________________________________________________________________                                                                                                                                              
       |    |         /                                                    2                                                                       2     /     /                      3                3                    2          4          4           2           2      2   \\|                    /                                                    2                                                                       2                             /     /                      3                3                    2          4          4           2           2      2   \\|   |         /                                                    2                                                                       2     /     /                      3                3                    2          4          4           2           2      2   \\|                                /                                                    2                                                                       2                 /     /                      3                3                    2          4          4           2           2      2   \\
       |    |      4 /  /                      3                3         \    /         2          4          4           2           2      2   \      |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/||                 4 /  /                      3                3         \    /         2          4          4           2           2      2   \   /        2        2   \    |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/||   |      4 /  /                      3                3         \    /         2          4          4           2           2      2   \      |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/|| /        2        2   \     4 /  /                      3                3         \    /         2          4          4           2           2      2   \                  |atan2\-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x), 4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/|
       |  2*|8 + 4*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *cos|----------------------------------------------------------------------------------------------------------------------------||*im(x)*re(x)   4*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *\-16 + re (x) - im (x)/*sin|----------------------------------------------------------------------------------------------------------------------------||   |8 + 4*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *cos|----------------------------------------------------------------------------------------------------------------------------||*\-16 + re (x) - im (x)/   8*\/   \-64*im(x)*re(x) - 8*im (x)*re(x) + 8*re (x)*im(x)/  + \4 - 32*re (x) + 2*im (x) + 2*re (x) + 32*im (x) - 12*im (x)*re (x)/  *im(x)*re(x)*sin|----------------------------------------------------------------------------------------------------------------------------|
       |    \                                                                                                                                            \                                                             2                                                              //                                                                                                                                                                               \                                                             2                                                              /|   \                                                                                                                                            \                                                             2                                                              //                                                                                                                                                                               \                                                             2                                                              /
y2 = I*|- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                                                                                 2                                                                                                                                                                                                                                                                                              2                                                                                                                                            |                                                                                                                                                       2                                                                                                                                                                                                                                                                                             2                                                                                                                                      
       |                                                                                                                          /        2        2   \        2      2                                                                                                                                                                                                                                                        /        2        2   \        2      2                                                                                                                             |                                                                                                                                /        2        2   \        2      2                                                                                                                                                                                                                                                       /        2        2   \        2      2                                                                                                                       
       \                                                                                                                          \-16 + re (x) - im (x)/  + 4*im (x)*re (x)                                                                                                                                                                                                                                                     \-16 + re (x) - im (x)/  + 4*im (x)*re (x)                                                                                                                          /                                                                                                                                \-16 + re (x) - im (x)/  + 4*im (x)*re (x)                                                                                                                                                                                                                                                    \-16 + re (x) - im (x)/  + 4*im (x)*re (x)

y_{2} = \frac{\left(4 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)} + 8\right) \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} + i \left(- \frac{2 \left(4 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)} + 8\right) \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}} + \frac{4 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)}}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}}\right) + \frac{8 \sqrt[4]{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}\right)^{2} + \left(2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 8 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 64 \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)},2 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 12 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 32 \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 32 \left(\operatorname{im}{\left(x\right)}\right)^{2} + 4 \right)}}{2} \right)} \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)}}{\left(\left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 16\right)^{2} + 4 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2}}

y2 = (4*((8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x))^2 + (2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)^2)^(1/4)*cos(atan2(8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x, 2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)/2) + 8)*(re(x)^2 - im(x)^2 - 16)/((re(x)^2 - im(x)^2 - 16)^2 + 4*re(x)^2*im(x)^2) + i*(-2*(4*((8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x))^2 + (2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)^2)^(1/4)*cos(atan2(8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x), 2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)/2) + 8)*re(x)*im(x)/((re(x)^2 - im(x)^2 - 16)^2 + 4*re(x)^2*im(x)^2) + 4*((8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x))^2 + (2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)^2)^(1/4)*(re(x)^2 - im(x)^2 - 16)*sin(atan2(8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x), 2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)/2)/((re(x)^2 - im(x)^2 - 16)^2 + 4*re(x)^2*im(x)^2)) + 8*((8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x))^2 + (2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)^2)^(1/4)*sin(atan2(8*re(x)^3*im(x) - 8*re(x)*im(x)^3 - 64*re(x)*im(x), 2*re(x)^4 - 12*re(x)^2*im(x)^2 - 32*re(x)^2 + 2*im(x)^4 + 32*im(x)^2 + 4)/2)*re(x)*im(x)/((re(x)^2 - im(x)^2 - 16)^2 + 4*re(x)^2*im(x)^2))

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xy=4Scrt(2x^2+y^2+y) la ecuación

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