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La ecuación:
Ecuación 12-y+2=0
Ecuación 5*x^2+9*x=0
Ecuación 3x^2=2x+x^3
Ecuación (1/6)^(x+8)=6^x
Expresar {x} en función de y en la ecuación:
-4*x+4*y=-9
8*x-9*y=-1
-14*x+19*y=-3
-4*x-4*y=19
Expresiones idénticas
log((x^ tres +y), diez)= cero
logaritmo de ((x al cubo más y),10) es igual a 0
logaritmo de ((x en el grado tres más y), diez) es igual a cero
log((x3+y),10)=0
logx3+y,10=0
log((x³+y),10)=0
log((x en el grado 3+y),10)=0
logx^3+y,10=0
log((x^3+y),10)=O
Expresiones semejantes
log((x^3-y),10)=0
Expresiones con funciones
Logaritmo log
log_3(3x+9)=1
log(log(y/x)-1)=Const+log(x)
log_(0.1*x)(x)+log_(0.25*x)(x)=0
log(1/(x^2-1))/log(E)=0
log2²(x-3)²-14log2(6-2x)+20=0

log((x^3+y),10)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   / 3        \    
log\x  + y, 10/ = 0

\log{\left(x^{3} + y \right)} = 0

Simplificar

Gráfica

Suma y producto de raíces [src]

suma

  /     _______________________                                          _______________________                              \      _______________________                                          _______________________                                   /     _______________________                                          _______________________                              \      _______________________                                          _______________________                                                                                                                                                      
  |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|   6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\     |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|   6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\                                                                                                                        
  |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||   \/  (1 - re(y))  + im (y) *cos|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *sin|------------------------|     |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||   \/  (1 - re(y))  + im (y) *cos|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *sin|------------------------|      _______________________                                      _______________________                              
  |                                \           3            /                                       \           3            /|                                 \           3            /                                       \           3            /     |                                \           3            /                                       \           3            /|                                 \           3            /                                       \           3            /   6 /            2     2        /atan2(-im(y), 1 - re(y))\     6 /            2     2        /atan2(-im(y), 1 - re(y))\
I*|- -------------------------------------------------------- + --------------------------------------------------------------| - -------------------------------------------------------- - -------------------------------------------------------------- + I*|- -------------------------------------------------------- - --------------------------------------------------------------| - -------------------------------------------------------- + -------------------------------------------------------------- + \/  (1 - re(y))  + im (y) *cos|------------------------| + I*\/  (1 - re(y))  + im (y) *sin|------------------------|
  \                             2                                                             2                               /                              2                                                             2                                    \                             2                                                             2                               /                              2                                                             2                                                                \           3            /                                   \           3            /

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

  /     _______________________                                          _______________________                              \     /     _______________________                                          _______________________                              \                                                             
  |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|     |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|                                                             
  |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||     |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||        _______________________                              
  |                                \           3            /                                       \           3            /|     |                                \           3            /                                       \           3            /|     6 /            2     2        /atan2(-im(y), 1 - re(y))\
I*|- -------------------------------------------------------- + --------------------------------------------------------------| + I*|- -------------------------------------------------------- - --------------------------------------------------------------| + I*\/  (1 - re(y))  + im (y) *sin|------------------------|
  \                             2                                                             2                               /     \                             2                                                             2                               /                                   \           3            /

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

producto

/  /     _______________________                                          _______________________                              \      _______________________                                          _______________________                              \ /  /     _______________________                                          _______________________                              \      _______________________                                          _______________________                              \                                                                                                                        
|  |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|   6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\| |  |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|   6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|                                                                                                                        
|  |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||   \/  (1 - re(y))  + im (y) *cos|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *sin|------------------------|| |  |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||   \/  (1 - re(y))  + im (y) *cos|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *sin|------------------------|| /   _______________________                                      _______________________                              \
|  |                                \           3            /                                       \           3            /|                                 \           3            /                                       \           3            /| |  |                                \           3            /                                       \           3            /|                                 \           3            /                                       \           3            /| |6 /            2     2        /atan2(-im(y), 1 - re(y))\     6 /            2     2        /atan2(-im(y), 1 - re(y))\|
|I*|- -------------------------------------------------------- + --------------------------------------------------------------| - -------------------------------------------------------- - --------------------------------------------------------------|*|I*|- -------------------------------------------------------- - --------------------------------------------------------------| - -------------------------------------------------------- + --------------------------------------------------------------|*|\/  (1 - re(y))  + im (y) *cos|------------------------| + I*\/  (1 - re(y))  + im (y) *sin|------------------------||
\  \                             2                                                             2                               /                              2                                                             2                               / \  \                             2                                                             2                               /                              2                                                             2                               / \                              \           3            /                                   \           3            //

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

                                   /                                                                                                                                                                        /            im(y)                 /atan2(-im(y), 1 - re(y))\\\
                                   |                                                                                                                                                                    3*I*|- -------------------------- + sin|------------------------|||
                                   |                                      /atan2(-im(y), 1 - re(y))\                                                                                                        |     _______________________      \           3            /||
   _______________________________ |                                 3*cos|------------------------|                                                                                                        |    /            2     2                                    ||
  /       2        2               |   3/atan2(-im(y), 1 - re(y))\        \           3            /                3                      3/atan2(-im(y), 1 - re(y))\             3*re(y)                  \  \/  (1 - re(y))  + im (y)                                 /|
\/  1 + im (y) + re (y) - 2*re(y) *|cos |------------------------| - ------------------------------- + ---------------------------- - I*sin |------------------------| - ---------------------------- + ------------------------------------------------------------------|
                                   |    \           3            /                  4                       _______________________         \           3            /        _______________________                                   4                                 |
                                   |                                                                       /            2     2                                              /            2     2                                                                         |
                                   \                                                                   4*\/  (1 - re(y))  + im (y)                                       4*\/  (1 - re(y))  + im (y)                                                                      /

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

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

Respuesta rápida [src]

       /     _______________________                                          _______________________                              \      _______________________                                          _______________________                              
       |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|   6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\
       |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||   \/  (1 - re(y))  + im (y) *cos|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *sin|------------------------|
       |                                \           3            /                                       \           3            /|                                 \           3            /                                       \           3            /
x1 = I*|- -------------------------------------------------------- + --------------------------------------------------------------| - -------------------------------------------------------- - --------------------------------------------------------------
       \                             2                                                             2                               /                              2                                                             2

x_{1} = i \left(- \frac{\sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2} + \frac{\sqrt{3} \sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2}\right) - \frac{\sqrt{3} \sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2}

       /     _______________________                                          _______________________                              \      _______________________                                          _______________________                              
       |  6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\|   6 /            2     2        /atan2(-im(y), 1 - re(y))\     ___ 6 /            2     2        /atan2(-im(y), 1 - re(y))\
       |  \/  (1 - re(y))  + im (y) *sin|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *cos|------------------------||   \/  (1 - re(y))  + im (y) *cos|------------------------|   \/ 3 *\/  (1 - re(y))  + im (y) *sin|------------------------|
       |                                \           3            /                                       \           3            /|                                 \           3            /                                       \           3            /
x2 = I*|- -------------------------------------------------------- - --------------------------------------------------------------| - -------------------------------------------------------- + --------------------------------------------------------------
       \                             2                                                             2                               /                              2                                                             2

x_{2} = i \left(- \frac{\sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2}\right) + \frac{\sqrt{3} \sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2} - \frac{\sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}}{2}

        _______________________                                      _______________________                              
     6 /            2     2        /atan2(-im(y), 1 - re(y))\     6 /            2     2        /atan2(-im(y), 1 - re(y))\
x3 = \/  (1 - re(y))  + im (y) *cos|------------------------| + I*\/  (1 - re(y))  + im (y) *sin|------------------------|
                                   \           3            /                                   \           3            /

x_{3} = i \sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)} + \sqrt[6]{\left(1 - \operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(y\right)},1 - \operatorname{re}{\left(y\right)} \right)}}{3} \right)}

x3 = i*((1 - re(y))^2 + im(y)^2)^(1/6)*sin(atan2(-im(y, 1 - re(y))/3) + ((1 - re(y))^2 + im(y)^2)^(1/6)*cos(atan2(-im(y), 1 - re(y))/3))

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log((x^3+y),10)=0 la ecuación

Solución numérica:

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