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Expresiones idénticas
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Expresiones semejantes
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(2x1^3)+(4x1x2^2)-(10x1x2)+(x2^2)-с=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
3 2 2 2*x1 + 4*x1*x2 - 10*x1*x2 + x2 - c = 0
$$- c + \left(x_{2}^{2} + \left(- 10 x_{1} x_{2} + \left(2 x_{1}^{3} + 4 x_{1} x_{2}^{2}\right)\right)\right) = 0$$
Solución detallada
Es la ecuación de la forma
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{21} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{22} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = 4 x_{1} + 1$$
$$b = - 10 x_{1}$$
$$c = - c + 2 x_{1}^{3}$$
, entonces
La ecuación tiene dos raíces.
o
$$x_{21} = \frac{10 x_{1} + \sqrt{100 x_{1}^{2} - \left(- c + 2 x_{1}^{3}\right) \left(16 x_{1} + 4\right)}}{8 x_{1} + 2}$$
$$x_{22} = \frac{10 x_{1} - \sqrt{100 x_{1}^{2} - \left(- c + 2 x_{1}^{3}\right) \left(16 x_{1} + 4\right)}}{8 x_{1} + 2}$$
a*x2^2 + b*x2 + c = 0
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{21} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{22} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = 4 x_{1} + 1$$
$$b = - 10 x_{1}$$
$$c = - c + 2 x_{1}^{3}$$
, entonces
D = b^2 - 4 * a * c =
(-10*x1)^2 - 4 * (1 + 4*x1) * (-c + 2*x1^3) = 100*x1^2 - (4 + 16*x1)*(-c + 2*x1^3)
La ecuación tiene dos raíces.
x21 = (-b + sqrt(D)) / (2*a)
x22 = (-b - sqrt(D)) / (2*a)
o
$$x_{21} = \frac{10 x_{1} + \sqrt{100 x_{1}^{2} - \left(- c + 2 x_{1}^{3}\right) \left(16 x_{1} + 4\right)}}{8 x_{1} + 2}$$
$$x_{22} = \frac{10 x_{1} - \sqrt{100 x_{1}^{2} - \left(- c + 2 x_{1}^{3}\right) \left(16 x_{1} + 4\right)}}{8 x_{1} + 2}$$
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
$$- c + 2 x_{1}^{3} + 4 x_{1} x_{2}^{2} - 10 x_{1} x_{2} + x_{2}^{2} = 0$$
Коэффициент при x2 равен
$$4 x_{1} + 1$$
entonces son posibles los casos para x1 :
$$x_{1} < - \frac{1}{4}$$
$$x_{1} = - \frac{1}{4}$$
Consideremos todos los casos con detalles:
Con
$$x_{1} < - \frac{1}{4}$$
la ecuación será
$$- c - 4 x_{2}^{2} + \frac{25 x_{2}}{2} - \frac{125}{32} = 0$$
su solución
$$x_{2} = \frac{25}{16} - \frac{\sqrt{375 - 64 c}}{16}$$
$$x_{2} = \frac{\sqrt{375 - 64 c}}{16} + \frac{25}{16}$$
Con
$$x_{1} = - \frac{1}{4}$$
la ecuación será
$$- c + \frac{5 x_{2}}{2} - \frac{1}{32} = 0$$
su solución
$$x_{2} = \frac{2 c}{5} + \frac{1}{80}$$
$$- c + 2 x_{1}^{3} + 4 x_{1} x_{2}^{2} - 10 x_{1} x_{2} + x_{2}^{2} = 0$$
Коэффициент при x2 равен
$$4 x_{1} + 1$$
entonces son posibles los casos para x1 :
$$x_{1} < - \frac{1}{4}$$
$$x_{1} = - \frac{1}{4}$$
Consideremos todos los casos con detalles:
Con
$$x_{1} < - \frac{1}{4}$$
la ecuación será
$$- c - 4 x_{2}^{2} + \frac{25 x_{2}}{2} - \frac{125}{32} = 0$$
su solución
$$x_{2} = \frac{25}{16} - \frac{\sqrt{375 - 64 c}}{16}$$
$$x_{2} = \frac{\sqrt{375 - 64 c}}{16} + \frac{25}{16}$$
Con
$$x_{1} = - \frac{1}{4}$$
la ecuación será
$$- c + \frac{5 x_{2}}{2} - \frac{1}{32} = 0$$
su solución
$$x_{2} = \frac{2 c}{5} + \frac{1}{80}$$
Teorema de Cardano-Vieta
reescribamos la ecuación
$$- c + \left(x_{2}^{2} + \left(- 10 x_{1} x_{2} + \left(2 x_{1}^{3} + 4 x_{1} x_{2}^{2}\right)\right)\right) = 0$$
de
$$a x_{2}^{2} + b x_{2} + c = 0$$
como ecuación cuadrática reducida
$$x_{2}^{2} + \frac{b x_{2}}{a} + \frac{c}{a} = 0$$
$$\frac{- c + 2 x_{1}^{3} + 4 x_{1} x_{2}^{2} - 10 x_{1} x_{2} + x_{2}^{2}}{4 x_{1} + 1} = 0$$
$$p x_{2} + q + x_{2}^{2} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = - \frac{10 x_{1}}{4 x_{1} + 1}$$
$$q = \frac{c}{a}$$
$$q = \frac{- c + 2 x_{1}^{3}}{4 x_{1} + 1}$$
Fórmulas de Cardano-Vieta
$$x_{2 1} + x_{2 2} = - p$$
$$x_{2 1} x_{2 2} = q$$
$$x_{2 1} + x_{2 2} = \frac{10 x_{1}}{4 x_{1} + 1}$$
$$x_{2 1} x_{2 2} = \frac{- c + 2 x_{1}^{3}}{4 x_{1} + 1}$$
$$- c + \left(x_{2}^{2} + \left(- 10 x_{1} x_{2} + \left(2 x_{1}^{3} + 4 x_{1} x_{2}^{2}\right)\right)\right) = 0$$
de
$$a x_{2}^{2} + b x_{2} + c = 0$$
como ecuación cuadrática reducida
$$x_{2}^{2} + \frac{b x_{2}}{a} + \frac{c}{a} = 0$$
$$\frac{- c + 2 x_{1}^{3} + 4 x_{1} x_{2}^{2} - 10 x_{1} x_{2} + x_{2}^{2}}{4 x_{1} + 1} = 0$$
$$p x_{2} + q + x_{2}^{2} = 0$$
donde
$$p = \frac{b}{a}$$
$$p = - \frac{10 x_{1}}{4 x_{1} + 1}$$
$$q = \frac{c}{a}$$
$$q = \frac{- c + 2 x_{1}^{3}}{4 x_{1} + 1}$$
Fórmulas de Cardano-Vieta
$$x_{2 1} + x_{2 2} = - p$$
$$x_{2 1} x_{2 2} = q$$
$$x_{2 1} + x_{2 2} = \frac{10 x_{1}}{4 x_{1} + 1}$$
$$x_{2 1} x_{2 2} = \frac{- c + 2 x_{1}^{3}}{4 x_{1} + 1}$$
Gráfica
Respuesta rápida
[src]
/ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \
| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\|
| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/||
|(1 + 4*re(x1))*|5*im(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*re(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1)| (1 + 4*re(x1))*|5*re(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*im(x1) - \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1)
| \ \ 2 // \ \ 2 // | \ \ 2 // \ \ 2 //
x21 = I*|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 2 2 2 2 | 2 2 2 2
\ (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1) / (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1)
$$x_{21} = \frac{4 \left(- \sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{im}{\left(x_{1}\right)}\right) \operatorname{im}{\left(x_{1}\right)}}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}} + \frac{\left(- \sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{re}{\left(x_{1}\right)}\right) \left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}} + i \left(\frac{\left(- \sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{im}{\left(x_{1}\right)}\right) \left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}} - \frac{4 \left(- \sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{re}{\left(x_{1}\right)}\right) \operatorname{im}{\left(x_{1}\right)}}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}}\right)$$
/ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \ / _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ \
| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\| | / 2 2 / / 3 3 2 3 2 4 4 3 2 2 2 2 \\|
| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/|| | 4 / / 3 3 2 3 \ / 2 4 4 3 2 2 2 2 \ |atan2\2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c), - 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/||
|(1 + 4*re(x1))*|5*im(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*re(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1)| (1 + 4*re(x1))*|5*re(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|| 4*|5*im(x1) + \/ \2*im (x1) + 4*im(c*x1) - 32*re (x1)*im(x1) - 6*re (x1)*im(x1) + 32*im (x1)*re(x1) + 50*im(x1)*re(x1) + im(c)/ + \- 25*im (x1) - 8*im (x1) - 8*re (x1) - 2*re (x1) + 4*re(c*x1) + 25*re (x1) + 6*im (x1)*re(x1) + 48*im (x1)*re (x1) + re(c)/ *sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(x1)
| \ \ 2 // \ \ 2 // | \ \ 2 // \ \ 2 //
x22 = I*|-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 2 2 2 2 | 2 2 2 2
\ (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1) / (1 + 4*re(x1)) + 16*im (x1) (1 + 4*re(x1)) + 16*im (x1)
$$x_{22} = \frac{4 \left(\sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{im}{\left(x_{1}\right)}\right) \operatorname{im}{\left(x_{1}\right)}}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}} + \frac{\left(\sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{re}{\left(x_{1}\right)}\right) \left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}} + i \left(\frac{\left(\sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{im}{\left(x_{1}\right)}\right) \left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}} - \frac{4 \left(\sqrt[4]{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)}\right)^{2} + \left(\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- 32 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} \operatorname{im}{\left(x_{1}\right)} - 6 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \operatorname{im}{\left(x_{1}\right)} + 32 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 50 \operatorname{re}{\left(x_{1}\right)} \operatorname{im}{\left(x_{1}\right)} + \operatorname{im}{\left(c\right)} + 2 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{3} + 4 \operatorname{im}{\left(c x_{1}\right)},\operatorname{re}{\left(c\right)} - 8 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{4} - 2 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{3} + 48 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 25 \left(\operatorname{re}{\left(x_{1}\right)}\right)^{2} + 6 \operatorname{re}{\left(x_{1}\right)} \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} + 4 \operatorname{re}{\left(c x_{1}\right)} - 8 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{4} - 25 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2} \right)}}{2} \right)} + 5 \operatorname{re}{\left(x_{1}\right)}\right) \operatorname{im}{\left(x_{1}\right)}}{\left(4 \operatorname{re}{\left(x_{1}\right)} + 1\right)^{2} + 16 \left(\operatorname{im}{\left(x_{1}\right)}\right)^{2}}\right)$$
x22 = 4*(((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*sin(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1, re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*im(x1))*im(x1)/((4*re(x1) + 1)^2 + 16*im(x1)^2) + (((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*cos(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1), re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*re(x1))*(4*re(x1) + 1)/((4*re(x1) + 1)^2 + 16*im(x1)^2) + i*((((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*sin(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1), re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*im(x1))*(4*re(x1) + 1)/((4*re(x1) + 1)^2 + 16*im(x1)^2) - 4*(((-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1))^2 + (re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)^2)^(1/4)*cos(atan2(-32*re(x1)^3*im(x1) - 6*re(x1)^2*im(x1) + 32*re(x1)*im(x1)^3 + 50*re(x1)*im(x1) + im(c) + 2*im(x1)^3 + 4*im(c*x1), re(c) - 8*re(x1)^4 - 2*re(x1)^3 + 48*re(x1)^2*im(x1)^2 + 25*re(x1)^2 + 6*re(x1)*im(x1)^2 + 4*re(c*x1) - 8*im(x1)^4 - 25*im(x1)^2)/2) + 5*re(x1))*im(x1)/((4*re(x1) + 1)^2 + 16*im(x1)^2)))