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Expresiones semejantes
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-8*x^(3)*y-6*(1+5*x^(4)-2*x^(2)*(3+y^(2)))*-2*x^4=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 / 4 2 / 2\\ 4 -8*x *y - 6*\1 + 5*x - 2*x *\3 + y //*(-2)*x = 0
$$- x^{4} \left(-2\right) 6 \left(- 2 x^{2} \left(y^{2} + 3\right) + \left(5 x^{4} + 1\right)\right) + - 8 x^{3} y = 0$$
Solución detallada
Abramos la expresión en la ecuación
$$- x^{4} \left(-2\right) 6 \left(- 2 x^{2} \left(y^{2} + 3\right) + \left(5 x^{4} + 1\right)\right) + - 8 x^{3} y = 0$$
Obtenemos la ecuación cuadrática
$$60 x^{8} - 24 x^{6} y^{2} - 72 x^{6} + 12 x^{4} + - 8 x^{3} y = 0$$
Es la ecuación de la forma
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
$$a = - 24 x^{6}$$
$$b = - 8 x^{3}$$
$$c = 60 x^{8} - 72 x^{6} + 12 x^{4}$$
, entonces
La ecuación tiene dos raíces.
o
$$y_{1} = - \frac{8 x^{3} + \sqrt{96 x^{6} \left(60 x^{8} - 72 x^{6} + 12 x^{4}\right) + 64 x^{6}}}{48 x^{6}}$$
$$y_{2} = - \frac{8 x^{3} - \sqrt{96 x^{6} \left(60 x^{8} - 72 x^{6} + 12 x^{4}\right) + 64 x^{6}}}{48 x^{6}}$$
$$- x^{4} \left(-2\right) 6 \left(- 2 x^{2} \left(y^{2} + 3\right) + \left(5 x^{4} + 1\right)\right) + - 8 x^{3} y = 0$$
Obtenemos la ecuación cuadrática
$$60 x^{8} - 24 x^{6} y^{2} - 72 x^{6} + 12 x^{4} + - 8 x^{3} y = 0$$
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
$$a = - 24 x^{6}$$
$$b = - 8 x^{3}$$
$$c = 60 x^{8} - 72 x^{6} + 12 x^{4}$$
, entonces
D = b^2 - 4 * a * c =
(-8*x^3)^2 - 4 * (-24*x^6) * (-72*x^6 + 12*x^4 + 60*x^8) = 64*x^6 + 96*x^6*(-72*x^6 + 12*x^4 + 60*x^8)
La ecuación tiene dos raíces.
y1 = (-b + sqrt(D)) / (2*a)
y2 = (-b - sqrt(D)) / (2*a)
o
$$y_{1} = - \frac{8 x^{3} + \sqrt{96 x^{6} \left(60 x^{8} - 72 x^{6} + 12 x^{4}\right) + 64 x^{6}}}{48 x^{6}}$$
$$y_{2} = - \frac{8 x^{3} - \sqrt{96 x^{6} \left(60 x^{8} - 72 x^{6} + 12 x^{4}\right) + 64 x^{6}}}{48 x^{6}}$$
Gráfica
Respuesta rápida
[src]
// _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
|| / 2 2 / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\| / 3 2 \ / 2 2 / 3 2 \ / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\| | / 2 2 / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\| / 3 2 \ / 2 2 / 3 2 \ / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\
|| 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|| | im (x) re (x)*im(x) | 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ | re (x) im (x)*re(x) | |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|| | 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|| | re (x) im (x)*re(x) | 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ | im (x) re (x)*im(x) | |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|
y1 = I*||-1 + \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|-------------------- - --------------------| + \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *|-------------------- - --------------------|*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| + |-1 + \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|-------------------- - --------------------| - \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *|-------------------- - --------------------|*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|\ \ 2 // | 3 3| | 3 3| \ 2 /| \ \ 2 // | 3 3| | 3 3| \ 2 /
| | / 2 2 \ / 2 2 \ | | / 2 2 \ / 2 2 \ | | | / 2 2 \ / 2 2 \ | | / 2 2 \ / 2 2 \ |
\ \6*\im (x) + re (x)/ 2*\im (x) + re (x)/ / \6*\im (x) + re (x)/ 2*\im (x) + re (x)/ / / \6*\im (x) + re (x)/ 2*\im (x) + re (x)/ / \6*\im (x) + re (x)/ 2*\im (x) + re (x)/ /
$$y_{1} = i \left(\left(\sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)} - 1\right) \left(- \frac{\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} + \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) + \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} - \frac{\operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) \sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)}\right) + \left(\sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)} - 1\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} - \frac{\operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) - \left(- \frac{\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} + \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) \sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)}$$
// _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
|| / 2 2 / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\| / 3 2 \ / 2 2 / 3 2 \ / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\| | / 2 2 / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\| / 3 2 \ / 2 2 / 3 2 \ / / 3 5 7 5 5 3 3 7 3 3 5 3 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \\
|| 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|| | im (x) re (x)*im(x) | 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ | re (x) im (x)*re(x) | |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|| | 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|| | re (x) im (x)*re(x) | 4 / / 3 5 7 5 5 3 3 7 3 3 5 3 \ / 6 4 4 8 8 6 2 6 6 2 4 2 2 2 2 4 4 4 \ | im (x) re (x)*im(x) | |atan2\- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x), 1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/|
y2 = I*||1 + \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|- -------------------- + --------------------| + \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *|- -------------------- + --------------------|*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| + |1 + \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*|- -------------------- + --------------------| - \/ \- 5040*im (x)*re (x) - 720*im (x)*re(x) - 648*im (x)*re(x) - 648*re (x)*im(x) - 72*im (x)*re(x) + 72*re (x)*im(x) + 720*re (x)*im(x) + 2160*im (x)*re (x) + 5040*im (x)*re (x)/ + \1 - 108*re (x) + 18*im (x) + 18*re (x) + 90*im (x) + 90*re (x) + 108*im (x) - 2520*im (x)*re (x) - 2520*im (x)*re (x) - 1620*im (x)*re (x) - 108*im (x)*re (x) + 1620*im (x)*re (x) + 6300*im (x)*re (x)/ *|- -------------------- + --------------------|*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|\ \ 2 // | 3 3| | 3 3| \ 2 /| \ \ 2 // | 3 3| | 3 3| \ 2 /
| | / 2 2 \ / 2 2 \ | | / 2 2 \ / 2 2 \ | | | / 2 2 \ / 2 2 \ | | / 2 2 \ / 2 2 \ |
\ \ 6*\im (x) + re (x)/ 2*\im (x) + re (x)/ / \ 6*\im (x) + re (x)/ 2*\im (x) + re (x)/ / / \ 6*\im (x) + re (x)/ 2*\im (x) + re (x)/ / \ 6*\im (x) + re (x)/ 2*\im (x) + re (x)/ /
$$y_{2} = i \left(\left(\sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)} + 1\right) \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) + \left(- \frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} + \frac{\operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) \sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)}\right) + \left(\sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)} + 1\right) \left(- \frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} + \frac{\operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) - \left(\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)}}{2 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{6 \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + \left(\operatorname{im}{\left(x\right)}\right)^{2}\right)^{3}}\right) \sqrt[4]{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3}\right)^{2} + \left(90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(720 \left(\operatorname{re}{\left(x\right)}\right)^{7} \operatorname{im}{\left(x\right)} - 5040 \left(\operatorname{re}{\left(x\right)}\right)^{5} \left(\operatorname{im}{\left(x\right)}\right)^{3} - 648 \left(\operatorname{re}{\left(x\right)}\right)^{5} \operatorname{im}{\left(x\right)} + 5040 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{5} + 2160 \left(\operatorname{re}{\left(x\right)}\right)^{3} \left(\operatorname{im}{\left(x\right)}\right)^{3} + 72 \left(\operatorname{re}{\left(x\right)}\right)^{3} \operatorname{im}{\left(x\right)} - 720 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{7} - 648 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{5} - 72 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{3},90 \left(\operatorname{re}{\left(x\right)}\right)^{8} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{6} \left(\operatorname{im}{\left(x\right)}\right)^{2} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{6} + 6300 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1620 \left(\operatorname{re}{\left(x\right)}\right)^{4} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 18 \left(\operatorname{re}{\left(x\right)}\right)^{4} - 2520 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{6} - 1620 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{4} - 108 \left(\operatorname{re}{\left(x\right)}\right)^{2} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 90 \left(\operatorname{im}{\left(x\right)}\right)^{8} + 108 \left(\operatorname{im}{\left(x\right)}\right)^{6} + 18 \left(\operatorname{im}{\left(x\right)}\right)^{4} + 1 \right)}}{2} \right)}$$
y2 = i*((((720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x)^3)^2 + (90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)^2)^(1/4)*cos(atan2(720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x^3, 90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)/2) + 1)*(re(x)^2*im(x)/(2*(re(x)^2 + im(x)^2)^3) - im(x)^3/(6*(re(x)^2 + im(x)^2)^3)) + (-re(x)^3/(6*(re(x)^2 + im(x)^2)^3) + re(x)*im(x)^2/(2*(re(x)^2 + im(x)^2)^3))*((720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x)^3)^2 + (90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)^2)^(1/4)*sin(atan2(720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x)^3, 90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)/2)) + (((720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x)^3)^2 + (90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)^2)^(1/4)*cos(atan2(720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x)^3, 90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)/2) + 1)*(-re(x)^3/(6*(re(x)^2 + im(x)^2)^3) + re(x)*im(x)^2/(2*(re(x)^2 + im(x)^2)^3)) - (re(x)^2*im(x)/(2*(re(x)^2 + im(x)^2)^3) - im(x)^3/(6*(re(x)^2 + im(x)^2)^3))*((720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x)^3)^2 + (90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)^2)^(1/4)*sin(atan2(720*re(x)^7*im(x) - 5040*re(x)^5*im(x)^3 - 648*re(x)^5*im(x) + 5040*re(x)^3*im(x)^5 + 2160*re(x)^3*im(x)^3 + 72*re(x)^3*im(x) - 720*re(x)*im(x)^7 - 648*re(x)*im(x)^5 - 72*re(x)*im(x)^3, 90*re(x)^8 - 2520*re(x)^6*im(x)^2 - 108*re(x)^6 + 6300*re(x)^4*im(x)^4 + 1620*re(x)^4*im(x)^2 + 18*re(x)^4 - 2520*re(x)^2*im(x)^6 - 1620*re(x)^2*im(x)^4 - 108*re(x)^2*im(x)^2 + 90*im(x)^8 + 108*im(x)^6 + 18*im(x)^4 + 1)/2))