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atan(y)=sqrt(4-x^2) 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] 
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atan(y) = \/  4 - x
atan⁡(y)=4−x2\operatorname{atan}{\left(y \right)} = \sqrt{4 - x^{2}}
Simplificar
Solución detallada
Tenemos la ecuación
atan⁡(y)=4−x2\operatorname{atan}{\left(y \right)} = \sqrt{4 - x^{2}}
Transpongamos la parte derecha de la ecuación miembro izquierdo de la ecuación con el signo negativo
−4−x2=−atan⁡(y)- \sqrt{4 - x^{2}} = - \operatorname{atan}{\left(y \right)}
Elevemos las dos partes de la ecuación a la potencia 2
4−x2=atan⁡2(y)4 - x^{2} = \operatorname{atan}^{2}{\left(y \right)}
4−x2=atan⁡2(y)4 - x^{2} = \operatorname{atan}^{2}{\left(y \right)}
Transpongamos la parte derecha de la ecuación miembro izquierdo de la ecuación con el signo negativo
−x2−atan⁡2(y)+4=0- x^{2} - \operatorname{atan}^{2}{\left(y \right)} + 4 = 0
Es la ecuación de la forma
a*x^2 + b*x + c = 0

La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
donde D = b^2 - 4*a*c es el discriminante.
Como
a=−1a = -1
b=0b = 0
c=4−atan⁡2(y)c = 4 - \operatorname{atan}^{2}{\left(y \right)}
, entonces
D = b^2 - 4 * a * c = 

(0)^2 - 4 * (-1) * (4 - atan(y)^2) = 16 - 4*atan(y)^2

La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)

x2 = (-b - sqrt(D)) / (2*a)

o
x1=−16−4atan⁡2(y)2x_{1} = - \frac{\sqrt{16 - 4 \operatorname{atan}^{2}{\left(y \right)}}}{2}
x2=16−4atan⁡2(y)2x_{2} = \frac{\sqrt{16 - 4 \operatorname{atan}^{2}{\left(y \right)}}}{2}
Gráfica
Suma y producto de raíces [src] 
suma
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  4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|     4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|   4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|     4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|
- \/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| - I*\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------| + \/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| + I*\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------|
                                                                            \                                2                                 /                                                                               \                                2                                 /                                                                             \                                2                                 /                                                                               \                                2                                 /
(−i(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24sin⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)−(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24cos⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2))+(i(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24sin⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)+(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24cos⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2))\left(- i \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)}\right) + \left(i \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)}\right) 
=
0
00 
producto
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|  4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|     4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|| |4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|     4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/||
|- \/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| - I*\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------||*|\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| + I*\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------||
\                                                                            \                                2                                 /                                                                               \                                2                                 // \                                                                          \                                2                                 /                                                                               \                                2                                 //
(−i(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24sin⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)−(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24cos⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2))(i(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24sin⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)+(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24cos⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2))\left(- i \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)}\right) \left(i \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)}\right) 
=
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   /  /      2              2         \        2            2            I*atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/
-\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *e
−(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))2eiatan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)- \sqrt{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}} 
-sqrt((4 + im(atan(y))^2 - re(atan(y))^2)^2 + 4*im(atan(y))^2*re(atan(y))^2)*exp(i*atan2(-2*im(atan(y))*re(atan(y)), 4 + im(atan(y))^2 - re(atan(y))^2))
Respuesta rápida [src] 
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       4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|     4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|
x1 = - \/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| - I*\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------|
                                                                                 \                                2                                 /                                                                               \                                2                                 /
x1=−i(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24sin⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)−(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24cos⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)x_{1} = - i \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} - \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} 
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     4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|     4 /  /      2              2         \        2            2              |atan2\-2*im(atan(y))*re(atan(y)), 4 + im (atan(y)) - re (atan(y))/|
x2 = \/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *cos|------------------------------------------------------------------| + I*\/   \4 + im (atan(y)) - re (atan(y))/  + 4*im (atan(y))*re (atan(y)) *sin|------------------------------------------------------------------|
                                                                               \                                2                                 /                                                                               \                                2                                 /
x2=i(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24sin⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)+(−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2+4(re⁡(atan⁡(y)))2(im⁡(atan⁡(y)))24cos⁡(atan2⁡(−2re⁡(atan⁡(y))im⁡(atan⁡(y)),−(re⁡(atan⁡(y)))2+(im⁡(atan⁡(y)))2+4)2)x_{2} = i \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} + \sqrt[4]{\left(- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4\right)^{2} + 4 \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 2 \operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)} \operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)},- \left(\operatorname{re}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + \left(\operatorname{im}{\left(\operatorname{atan}{\left(y \right)}\right)}\right)^{2} + 4 \right)}}{2} \right)} 
x2 = i*((-re(atan(y))^2 + im(atan(y))^2 + 4)^2 + 4*re(atan(y))^2*im(atan(y))^2)^(1/4)*sin(atan2(-2*re(atan(y))*im(atan(y), -re(atan(y))^2 + im(atan(y))^2 + 4)/2) + ((-re(atan(y))^2 + im(atan(y))^2 + 4)^2 + 4*re(atan(y))^2*im(atan(y))^2)^(1/4)*cos(atan2(-2*re(atan(y))*im(atan(y)), -re(atan(y))^2 + im(atan(y))^2 + 4)/2))
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