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pi*n^4+pi*n^3/2+x^2*(pi*n+pi/2)-2*x=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src] 
            3                           
    4   pi*n     2 /       pi\          
pi*n  + ----- + x *|pi*n + --| - 2*x = 0
          2        \       2 /
−2x+(x2(πn+π2)+(πn4+πn32))=0- 2 x + \left(x^{2} \left(\pi n + \frac{\pi}{2}\right) + \left(\pi n^{4} + \frac{\pi n^{3}}{2}\right)\right) = 0
Simplificar
Solución detallada
Abramos la expresión en la ecuación
−2x+(x2(πn+π2)+(πn4+πn32))=0- 2 x + \left(x^{2} \left(\pi n + \frac{\pi}{2}\right) + \left(\pi n^{4} + \frac{\pi n^{3}}{2}\right)\right) = 0
Obtenemos la ecuación cuadrática
πn4+πn32+πnx2+πx22−2x=0\pi n^{4} + \frac{\pi n^{3}}{2} + \pi n x^{2} + \frac{\pi x^{2}}{2} - 2 x = 0
Es la ecuación de la forma
a*x^2 + b*x + c = 0

La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
donde D = b^2 - 4*a*c es el discriminante.
Como
a=πn+π2a = \pi n + \frac{\pi}{2}
b=−2b = -2
c=πn4+πn32c = \pi n^{4} + \frac{\pi n^{3}}{2}
, entonces
D = b^2 - 4 * a * c = 

(-2)^2 - 4 * (pi/2 + pi*n) * (pi*n^4 + pi*n^3/2) = 4 - (2*pi + 4*pi*n)*(pi*n^4 + pi*n^3/2)

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

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

o
x1=−(4πn+2π)(πn4+πn32)+4+22πn+πx_{1} = \frac{\sqrt{- \left(4 \pi n + 2 \pi\right) \left(\pi n^{4} + \frac{\pi n^{3}}{2}\right) + 4} + 2}{2 \pi n + \pi}
x2=2−−(4πn+2π)(πn4+πn32)+42πn+πx_{2} = \frac{2 - \sqrt{- \left(4 \pi n + 2 \pi\right) \left(\pi n^{4} + \frac{\pi n^{3}}{2}\right) + 4}}{2 \pi n + \pi}
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
πn4+πn32+x2(πn+π2)−2x=0\pi n^{4} + \frac{\pi n^{3}}{2} + x^{2} \left(\pi n + \frac{\pi}{2}\right) - 2 x = 0
Коэффициент при x равен
πn+π2\pi n + \frac{\pi}{2}
entonces son posibles los casos para n :
n<−12n < - \frac{1}{2}
n=−12n = - \frac{1}{2}
Consideremos todos los casos con detalles:
Con
n<−12n < - \frac{1}{2}
la ecuación será
x2(−3π2+π2)−2x+27π8=0x^{2} \left(- \frac{3 \pi}{2} + \frac{\pi}{2}\right) - 2 x + \frac{27 \pi}{8} = 0
su solución
x=−1+16+54π24πx = \frac{-1 + \frac{\sqrt{16 + 54 \pi^{2}}}{4}}{\pi}
x=−1+16+54π24πx = - \frac{1 + \frac{\sqrt{16 + 54 \pi^{2}}}{4}}{\pi}
Con
n=−12n = - \frac{1}{2}
la ecuación será
x2(−π2+π2)−2x=0x^{2} \left(- \frac{\pi}{2} + \frac{\pi}{2}\right) - 2 x = 0
su solución
x=0x = 0
Teorema de Cardano-Vieta
reescribamos la ecuación
−2x+(x2(πn+π2)+(πn4+πn32))=0- 2 x + \left(x^{2} \left(\pi n + \frac{\pi}{2}\right) + \left(\pi n^{4} + \frac{\pi n^{3}}{2}\right)\right) = 0
de
ax2+bx+c=0a x^{2} + b x + c = 0
como ecuación cuadrática reducida
x2+bxa+ca=0x^{2} + \frac{b x}{a} + \frac{c}{a} = 0
πn4+πn32+x2(πn+π2)−2xπn+π2=0\frac{\pi n^{4} + \frac{\pi n^{3}}{2} + x^{2} \left(\pi n + \frac{\pi}{2}\right) - 2 x}{\pi n + \frac{\pi}{2}} = 0
px+q+x2=0p x + q + x^{2} = 0
donde
p=bap = \frac{b}{a}
p=−2πn+π2p = - \frac{2}{\pi n + \frac{\pi}{2}}
q=caq = \frac{c}{a}
q=πn4+πn32πn+π2q = \frac{\pi n^{4} + \frac{\pi n^{3}}{2}}{\pi n + \frac{\pi}{2}}
Fórmulas de Cardano-Vieta
x1+x2=−px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=2πn+π2x_{1} + x_{2} = \frac{2}{\pi n + \frac{\pi}{2}}
x1x2=πn4+πn32πn+π2x_{1} x_{2} = \frac{\pi n^{4} + \frac{\pi n^{3}}{2}}{\pi n + \frac{\pi}{2}}
Gráfica
Respuesta rápida [src] 
       /    /        _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                   \             _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                                 \                 /        _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                   \         _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                         
       |    |       /                                                                                                                                     2                                                                                                                                       2     /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\|            /                                                                                                                                     2                                                                                                                                       2                   /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\|                 |       /                                                                                                                                     2                                                                                                                                       2     /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\|        /                                                                                                                                     2                                                                                                                                       2           /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\
       |    |    4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\      |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//||         4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\                    |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//||                 |    4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\      |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//||     4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\            |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//|
       |  2*|2 - \/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(n)   \/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *(1 + 2*re(n))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   (1 + 2*re(n))*|2 - \/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   2*\/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *im(n)*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
       |    \                                                                                                                                                                                                                                                                                           \                                                                                                                                      2                                                                                                                                      //                                                                                                                                                                                                                                                                                                              \                                                                                                                                      2                                                                                                                                      /|                 \                                                                                                                                                                                                                                                                                           \                                                                                                                                      2                                                                                                                                      //                                                                                                                                                                                                                                                                                                  \                                                                                                                                      2                                                                                                                                      /
x1 = I*|- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                                                                                                                                                                                                                /             2       2   \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            /             2       2   \                                                                                                                                                                                                                                                                           |                                                                                                                                                                                                                                                                                    /             2       2   \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            /             2       2   \                                                                                                                                                                                                                                                                        
       \                                                                                                                                                                                                                                                                             pi*\(1 + 2*re(n))  + 4*im (n)/                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         pi*\(1 + 2*re(n))  + 4*im (n)/                                                                                                                                                                                                                                                                           /                                                                                                                                                                                                                                                                                 pi*\(1 + 2*re(n))  + 4*im (n)/                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         pi*\(1 + 2*re(n))  + 4*im (n)/
x1=(−(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24cos⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)+2)(2re⁡(n)+1)π((2re⁡(n)+1)2+4(im⁡(n))2)+i(−2(−(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24cos⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)+2)im⁡(n)π((2re⁡(n)+1)2+4(im⁡(n))2)−(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24(2re⁡(n)+1)sin⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)π((2re⁡(n)+1)2+4(im⁡(n))2))−2(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24sin⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)im⁡(n)π((2re⁡(n)+1)2+4(im⁡(n))2)x_{1} = \frac{\left(- \sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)} + 2\right) \left(2 \operatorname{re}{\left(n\right)} + 1\right)}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} + i \left(- \frac{2 \left(- \sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)} + 2\right) \operatorname{im}{\left(n\right)}}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} - \frac{\sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \left(2 \operatorname{re}{\left(n\right)} + 1\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)}}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)}\right) - \frac{2 \sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)} \operatorname{im}{\left(n\right)}}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} 
       /    /        _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                   \             _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                                 \                 /        _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                   \         _______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                                                                         
       |    |       /                                                                                                                                     2                                                                                                                                       2     /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\|            /                                                                                                                                     2                                                                                                                                       2                   /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\|                 |       /                                                                                                                                     2                                                                                                                                       2     /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\|        /                                                                                                                                     2                                                                                                                                       2           /     /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \        2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\\
       |    |    4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\      |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//||         4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\                    |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//||                 |    4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\      |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//||     4 /  /    2 /    3          2         \       2 /      3                3         \       2 /  5           3      2          4         \\    /      2 /  3          2         \       2 /  4        4          2      2   \       2 /  5           2      3          4         \\            |atan2\- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)/, 4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//|
       |  2*|2 + \/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(n)   \/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *(1 + 2*re(n))*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   (1 + 2*re(n))*|2 + \/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *cos|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   2*\/   \- pi *\- im (n) + 3*re (n)*im(n)/ - 4*pi *\- 4*im (n)*re(n) + 4*re (n)*im(n)/ - 4*pi *\im (n) - 10*im (n)*re (n) + 5*re (n)*im(n)//  + \4 - pi *\re (n) - 3*im (n)*re(n)/ - 4*pi *\im (n) + re (n) - 6*im (n)*re (n)/ - 4*pi *\re (n) - 10*im (n)*re (n) + 5*im (n)*re(n)//  *im(n)*sin|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
       |    \                                                                                                                                                                                                                                                                                           \                                                                                                                                      2                                                                                                                                      //                                                                                                                                                                                                                                                                                                              \                                                                                                                                      2                                                                                                                                      /|                 \                                                                                                                                                                                                                                                                                           \                                                                                                                                      2                                                                                                                                      //                                                                                                                                                                                                                                                                                                  \                                                                                                                                      2                                                                                                                                      /
x2 = I*|- ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                                                                                                                                                                                                                /             2       2   \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            /             2       2   \                                                                                                                                                                                                                                                                           |                                                                                                                                                                                                                                                                                    /             2       2   \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            /             2       2   \                                                                                                                                                                                                                                                                        
       \                                                                                                                                                                                                                                                                             pi*\(1 + 2*re(n))  + 4*im (n)/                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         pi*\(1 + 2*re(n))  + 4*im (n)/                                                                                                                                                                                                                                                                           /                                                                                                                                                                                                                                                                                 pi*\(1 + 2*re(n))  + 4*im (n)/                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         pi*\(1 + 2*re(n))  + 4*im (n)/
x2=((−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24cos⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)+2)(2re⁡(n)+1)π((2re⁡(n)+1)2+4(im⁡(n))2)+i(−2((−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24cos⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)+2)im⁡(n)π((2re⁡(n)+1)2+4(im⁡(n))2)+(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24(2re⁡(n)+1)sin⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)π((2re⁡(n)+1)2+4(im⁡(n))2))+2(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5))2+(−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)24sin⁡(atan2⁡(−π2(3(re⁡(n))2im⁡(n)−(im⁡(n))3)−4π2(4(re⁡(n))3im⁡(n)−4re⁡(n)(im⁡(n))3)−4π2(5(re⁡(n))4im⁡(n)−10(re⁡(n))2(im⁡(n))3+(im⁡(n))5),−π2((re⁡(n))3−3re⁡(n)(im⁡(n))2)−4π2((re⁡(n))4−6(re⁡(n))2(im⁡(n))2+(im⁡(n))4)−4π2((re⁡(n))5−10(re⁡(n))3(im⁡(n))2+5re⁡(n)(im⁡(n))4)+4)2)im⁡(n)π((2re⁡(n)+1)2+4(im⁡(n))2)x_{2} = \frac{\left(\sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)} + 2\right) \left(2 \operatorname{re}{\left(n\right)} + 1\right)}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} + i \left(- \frac{2 \left(\sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)} + 2\right) \operatorname{im}{\left(n\right)}}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} + \frac{\sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \left(2 \operatorname{re}{\left(n\right)} + 1\right) \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)}}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)}\right) + \frac{2 \sqrt[4]{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right)\right)^{2} + \left(- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(- \pi^{2} \left(3 \left(\operatorname{re}{\left(n\right)}\right)^{2} \operatorname{im}{\left(n\right)} - \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(4 \left(\operatorname{re}{\left(n\right)}\right)^{3} \operatorname{im}{\left(n\right)} - 4 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{3}\right) - 4 \pi^{2} \left(5 \left(\operatorname{re}{\left(n\right)}\right)^{4} \operatorname{im}{\left(n\right)} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{3} + \left(\operatorname{im}{\left(n\right)}\right)^{5}\right),- \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{3} - 3 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{2}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{4} - 6 \left(\operatorname{re}{\left(n\right)}\right)^{2} \left(\operatorname{im}{\left(n\right)}\right)^{2} + \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) - 4 \pi^{2} \left(\left(\operatorname{re}{\left(n\right)}\right)^{5} - 10 \left(\operatorname{re}{\left(n\right)}\right)^{3} \left(\operatorname{im}{\left(n\right)}\right)^{2} + 5 \operatorname{re}{\left(n\right)} \left(\operatorname{im}{\left(n\right)}\right)^{4}\right) + 4 \right)}}{2} \right)} \operatorname{im}{\left(n\right)}}{\pi \left(\left(2 \operatorname{re}{\left(n\right)} + 1\right)^{2} + 4 \left(\operatorname{im}{\left(n\right)}\right)^{2}\right)} 
x2 = (((-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5))^2 + (-pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)^2)^(1/4)*cos(atan2(-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5, -pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)/2) + 2)*(2*re(n) + 1)/(pi*((2*re(n) + 1)^2 + 4*im(n)^2)) + i*(-2*(((-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5))^2 + (-pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)^2)^(1/4)*cos(atan2(-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5), -pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)/2) + 2)*im(n)/(pi*((2*re(n) + 1)^2 + 4*im(n)^2)) + ((-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5))^2 + (-pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)^2)^(1/4)*(2*re(n) + 1)*sin(atan2(-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5), -pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)/2)/(pi*((2*re(n) + 1)^2 + 4*im(n)^2))) + 2*((-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5))^2 + (-pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)^2)^(1/4)*sin(atan2(-pi^2*(3*re(n)^2*im(n) - im(n)^3) - 4*pi^2*(4*re(n)^3*im(n) - 4*re(n)*im(n)^3) - 4*pi^2*(5*re(n)^4*im(n) - 10*re(n)^2*im(n)^3 + im(n)^5), -pi^2*(re(n)^3 - 3*re(n)*im(n)^2) - 4*pi^2*(re(n)^4 - 6*re(n)^2*im(n)^2 + im(n)^4) - 4*pi^2*(re(n)^5 - 10*re(n)^3*im(n)^2 + 5*re(n)*im(n)^4) + 4)/2)*im(n)/(pi*((2*re(n) + 1)^2 + 4*im(n)^2)))
    © Sr Examen – Калькулятор