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z-log(x^2+y^2)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src] 
       / 2    2\    
z - log\x  + y / = 0
z−log⁡(x2+y2)=0z - \log{\left(x^{2} + y^{2} \right)} = 0
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
      _______________________________________________________________________________                                                                                            _______________________________________________________________________________                                                                                          _______________________________________________________________________________                                                                                            _______________________________________________________________________________                                                                                   
     /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\        /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\      /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\        /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\
  4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|     4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|   4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|     4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|
- \/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *cos|-----------------------------------------------------------------------------| - I*\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *sin|-----------------------------------------------------------------------------| + \/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *cos|-----------------------------------------------------------------------------| + I*\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *sin|-----------------------------------------------------------------------------|
                                                                                         \                                      2                                      /                                                                                            \                                      2                                      /                                                                                          \                                      2                                      /                                                                                            \                                      2                                      /
(−i(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24sin⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)−(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24cos⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2))+(i(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24sin⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)+(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24cos⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2))\left(- i \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right) 
=
0
00 
producto
/      _______________________________________________________________________________                                                                                            _______________________________________________________________________________                                                                                   \ /    _______________________________________________________________________________                                                                                            _______________________________________________________________________________                                                                                   \
|     /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\        /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\| |   /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\        /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\|
|  4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|     4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|| |4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|     4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /||
|- \/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *cos|-----------------------------------------------------------------------------| - I*\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *sin|-----------------------------------------------------------------------------||*|\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *cos|-----------------------------------------------------------------------------| + I*\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *sin|-----------------------------------------------------------------------------||
\                                                                                         \                                      2                                      /                                                                                            \                                      2                                      // \                                                                                       \                                      2                                      /                                                                                            \                                      2                                      //
(−i(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24sin⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)−(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24cos⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2))(i(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24sin⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)+(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24cos⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2))\left(- i \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)}\right) 
=
                                                                                             /                   /      2*I*im(z)\  -I*im(z)  re(z)                    /     -2*I*im(z)\  I*im(z)  re(z)\
     _______________________________________________________________________________         |                 I*\-1 + e         /*e        *e         2        2      \1 + e          /*e       *e     |
    /                                    2                                        2   I*atan2|-2*im(y)*re(y) - ------------------------------------, im (y) - re (y) + ---------------------------------|
   /  / re(z)                           \    /  2        2                  re(z)\           \                                  2                                                      2                /
-\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *e
−(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2eiatan2⁡(−i(e2iim⁡(z)−1)e−iim⁡(z)ere⁡(z)2−2re⁡(y)im⁡(y),(1+e−2iim⁡(z))eiim⁡(z)ere⁡(z)2−(re⁡(y))2+(im⁡(y))2)- \sqrt{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- \frac{i \left(e^{2 i \operatorname{im}{\left(z\right)}} - 1\right) e^{- i \operatorname{im}{\left(z\right)}} e^{\operatorname{re}{\left(z\right)}}}{2} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},\frac{\left(1 + e^{- 2 i \operatorname{im}{\left(z\right)}}\right) e^{i \operatorname{im}{\left(z\right)}} e^{\operatorname{re}{\left(z\right)}}}{2} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}} 
-sqrt((exp(re(z))*sin(im(z)) - 2*im(y)*re(y))^2 + (im(y)^2 - re(y)^2 + cos(im(z))*exp(re(z)))^2)*exp(i*atan2(-2*im(y)*re(y) - i*(-1 + exp(2*i*im(z)))*exp(-i*im(z))*exp(re(z))/2, im(y)^2 - re(y)^2 + (1 + exp(-2*i*im(z)))*exp(i*im(z))*exp(re(z))/2))
Respuesta rápida [src] 
           _______________________________________________________________________________                                                                                            _______________________________________________________________________________                                                                                   
          /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\        /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\
       4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|     4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|
x1 = - \/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *cos|-----------------------------------------------------------------------------| - I*\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *sin|-----------------------------------------------------------------------------|
                                                                                              \                                      2                                      /                                                                                            \                                      2                                      /
x1=−i(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24sin⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)−(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24cos⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)x_{1} = - i \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} - \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} 
         _______________________________________________________________________________                                                                                            _______________________________________________________________________________                                                                                   
        /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\        /                                    2                                        2     /     / re(z)                               2        2                  re(z)\\
     4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|     4 /  / re(z)                           \    /  2        2                  re(z)\      |atan2\e     *sin(im(z)) - 2*im(y)*re(y), im (y) - re (y) + cos(im(z))*e     /|
x2 = \/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *cos|-----------------------------------------------------------------------------| + I*\/   \e     *sin(im(z)) - 2*im(y)*re(y)/  + \im (y) - re (y) + cos(im(z))*e     /  *sin|-----------------------------------------------------------------------------|
                                                                                            \                                      2                                      /                                                                                            \                                      2                                      /
x2=i(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24sin⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)+(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y))2+(ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)24cos⁡(atan2⁡(ere⁡(z)sin⁡(im⁡(z))−2re⁡(y)im⁡(y),ere⁡(z)cos⁡(im⁡(z))−(re⁡(y))2+(im⁡(y))2)2)x_{2} = i \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} + \sqrt[4]{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}\right)^{2} + \left(e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(e^{\operatorname{re}{\left(z\right)}} \sin{\left(\operatorname{im}{\left(z\right)} \right)} - 2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)},e^{\operatorname{re}{\left(z\right)}} \cos{\left(\operatorname{im}{\left(z\right)} \right)} - \left(\operatorname{re}{\left(y\right)}\right)^{2} + \left(\operatorname{im}{\left(y\right)}\right)^{2} \right)}}{2} \right)} 
x2 = i*((exp(re(z))*sin(im(z)) - 2*re(y)*im(y))^2 + (exp(re(z))*cos(im(z)) - re(y)^2 + im(y)^2)^2)^(1/4)*sin(atan2(exp(re(z))*sin(im(z)) - 2*re(y)*im(y, exp(re(z))*cos(im(z)) - re(y)^2 + im(y)^2)/2) + ((exp(re(z))*sin(im(z)) - 2*re(y)*im(y))^2 + (exp(re(z))*cos(im(z)) - re(y)^2 + im(y)^2)^2)^(1/4)*cos(atan2(exp(re(z))*sin(im(z)) - 2*re(y)*im(y), exp(re(z))*cos(im(z)) - re(y)^2 + im(y)^2)/2))
    © Sr Examen – Калькулятор