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arcsin(2x+y^2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
    /       2\    
asin\2*x + y / = 0
asin⁡(2x+y2)=0\operatorname{asin}{\left(2 x + y^{2} \right)} = 0
Simplificar
Gráfica
Respuesta rápida [src] 
                _________________                                         _________________                           
         ___ 4 /   2        2        /atan2(-im(x), -re(x))\       ___ 4 /   2        2        /atan2(-im(x), -re(x))\
y1 = - \/ 2 *\/  im (x) + re (x) *cos|---------------------| - I*\/ 2 *\/  im (x) + re (x) *sin|---------------------|
                                     \          2          /                                   \          2          /
y1=−2i(re⁡(x))2+(im⁡(x))24sin⁡(atan2⁡(−im⁡(x),−re⁡(x))2)−2(re⁡(x))2+(im⁡(x))24cos⁡(atan2⁡(−im⁡(x),−re⁡(x))2)y_{1} = - \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} 
              _________________                                         _________________                           
       ___ 4 /   2        2        /atan2(-im(x), -re(x))\       ___ 4 /   2        2        /atan2(-im(x), -re(x))\
y2 = \/ 2 *\/  im (x) + re (x) *cos|---------------------| + I*\/ 2 *\/  im (x) + re (x) *sin|---------------------|
                                   \          2          /                                   \          2          /
y2=2i(re⁡(x))2+(im⁡(x))24sin⁡(atan2⁡(−im⁡(x),−re⁡(x))2)+2(re⁡(x))2+(im⁡(x))24cos⁡(atan2⁡(−im⁡(x),−re⁡(x))2)y_{2} = \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} 
y2 = sqrt(2)*i*(re(x)^2 + im(x)^2)^(1/4)*sin(atan2(-im(x, -re(x))/2) + sqrt(2)*(re(x)^2 + im(x)^2)^(1/4)*cos(atan2(-im(x), -re(x))/2))
Suma y producto de raíces [src] 
suma
           _________________                                         _________________                                       _________________                                         _________________                           
    ___ 4 /   2        2        /atan2(-im(x), -re(x))\       ___ 4 /   2        2        /atan2(-im(x), -re(x))\     ___ 4 /   2        2        /atan2(-im(x), -re(x))\       ___ 4 /   2        2        /atan2(-im(x), -re(x))\
- \/ 2 *\/  im (x) + re (x) *cos|---------------------| - I*\/ 2 *\/  im (x) + re (x) *sin|---------------------| + \/ 2 *\/  im (x) + re (x) *cos|---------------------| + I*\/ 2 *\/  im (x) + re (x) *sin|---------------------|
                                \          2          /                                   \          2          /                                 \          2          /                                   \          2          /
(−2i(re⁡(x))2+(im⁡(x))24sin⁡(atan2⁡(−im⁡(x),−re⁡(x))2)−2(re⁡(x))2+(im⁡(x))24cos⁡(atan2⁡(−im⁡(x),−re⁡(x))2))+(2i(re⁡(x))2+(im⁡(x))24sin⁡(atan2⁡(−im⁡(x),−re⁡(x))2)+2(re⁡(x))2+(im⁡(x))24cos⁡(atan2⁡(−im⁡(x),−re⁡(x))2))\left(- \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) + \left(\sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) 
=
0
00 
producto
/           _________________                                         _________________                           \ /         _________________                                         _________________                           \
|    ___ 4 /   2        2        /atan2(-im(x), -re(x))\       ___ 4 /   2        2        /atan2(-im(x), -re(x))\| |  ___ 4 /   2        2        /atan2(-im(x), -re(x))\       ___ 4 /   2        2        /atan2(-im(x), -re(x))\|
|- \/ 2 *\/  im (x) + re (x) *cos|---------------------| - I*\/ 2 *\/  im (x) + re (x) *sin|---------------------||*|\/ 2 *\/  im (x) + re (x) *cos|---------------------| + I*\/ 2 *\/  im (x) + re (x) *sin|---------------------||
\                                \          2          /                                   \          2          // \                              \          2          /                                   \          2          //
(−2i(re⁡(x))2+(im⁡(x))24sin⁡(atan2⁡(−im⁡(x),−re⁡(x))2)−2(re⁡(x))2+(im⁡(x))24cos⁡(atan2⁡(−im⁡(x),−re⁡(x))2))(2i(re⁡(x))2+(im⁡(x))24sin⁡(atan2⁡(−im⁡(x),−re⁡(x))2)+2(re⁡(x))2+(im⁡(x))24cos⁡(atan2⁡(−im⁡(x),−re⁡(x))2))\left(- \sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} - \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) \left(\sqrt{2} i \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)} + \sqrt{2} \sqrt[4]{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}}{2} \right)}\right) 
=
      _________________                         
     /   2        2      I*atan2(-im(x), -re(x))
-2*\/  im (x) + re (x) *e
−2(re⁡(x))2+(im⁡(x))2eiatan2⁡(−im⁡(x),−re⁡(x))- 2 \sqrt{\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- \operatorname{im}{\left(x\right)},- \operatorname{re}{\left(x\right)} \right)}} 
-2*sqrt(im(x)^2 + re(x)^2)*exp(i*atan2(-im(x), -re(x)))
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