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(a-3)(a+3)x^2-(2a^2+5a-9)x+a+3=0 la ecuación

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Solución

Ha introducido [src] 
                 2   /   2          \              
(a - 3)*(a + 3)*x  - \2*a  + 5*a - 9/*x + a + 3 = 0
(a+(x2(a−3)(a+3)−x((2a2+5a)−9)))+3=0\left(a + \left(x^{2} \left(a - 3\right) \left(a + 3\right) - x \left(\left(2 a^{2} + 5 a\right) - 9\right)\right)\right) + 3 = 0
Simplificar
Solución detallada
Abramos la expresión en la ecuación
(a+(x2(a−3)(a+3)−x((2a2+5a)−9)))+3=0\left(a + \left(x^{2} \left(a - 3\right) \left(a + 3\right) - x \left(\left(2 a^{2} + 5 a\right) - 9\right)\right)\right) + 3 = 0
Obtenemos la ecuación cuadrática
a2x2−2a2x−5ax+a−9x2+9x+3=0a^{2} x^{2} - 2 a^{2} x - 5 a x + a - 9 x^{2} + 9 x + 3 = 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=a2−9a = a^{2} - 9
b=−2a2−5a+9b = - 2 a^{2} - 5 a + 9
c=a+3c = a + 3
, entonces
D = b^2 - 4 * a * c = 

(9 - 5*a - 2*a^2)^2 - 4 * (-9 + a^2) * (3 + a) = (9 - 5*a - 2*a^2)^2 - (-36 + 4*a^2)*(3 + a)

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

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

o
x1=2a2+5a+−(a+3)(4a2−36)+(−2a2−5a+9)2−92a2−18x_{1} = \frac{2 a^{2} + 5 a + \sqrt{- \left(a + 3\right) \left(4 a^{2} - 36\right) + \left(- 2 a^{2} - 5 a + 9\right)^{2}} - 9}{2 a^{2} - 18}
x2=2a2+5a−−(a+3)(4a2−36)+(−2a2−5a+9)2−92a2−18x_{2} = \frac{2 a^{2} + 5 a - \sqrt{- \left(a + 3\right) \left(4 a^{2} - 36\right) + \left(- 2 a^{2} - 5 a + 9\right)^{2}} - 9}{2 a^{2} - 18}
Teorema de Cardano-Vieta
reescribamos la ecuación
(a+(x2(a−3)(a+3)−x((2a2+5a)−9)))+3=0\left(a + \left(x^{2} \left(a - 3\right) \left(a + 3\right) - x \left(\left(2 a^{2} + 5 a\right) - 9\right)\right)\right) + 3 = 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
a+x2(a−3)(a+3)−x(2a2+5a−9)+3(a−3)(a+3)=0\frac{a + x^{2} \left(a - 3\right) \left(a + 3\right) - x \left(2 a^{2} + 5 a - 9\right) + 3}{\left(a - 3\right) \left(a + 3\right)} = 0
px+q+x2=0p x + q + x^{2} = 0
donde
p=bap = \frac{b}{a}
p=−2a2−5a+9(a−3)(a+3)p = \frac{- 2 a^{2} - 5 a + 9}{\left(a - 3\right) \left(a + 3\right)}
q=caq = \frac{c}{a}
q=1a−3q = \frac{1}{a - 3}
Fórmulas de Cardano-Vieta
x1+x2=−px_{1} + x_{2} = - p
x1x2=qx_{1} x_{2} = q
x1+x2=−−2a2−5a+9(a−3)(a+3)x_{1} + x_{2} = - \frac{- 2 a^{2} - 5 a + 9}{\left(a - 3\right) \left(a + 3\right)}
x1x2=1a−3x_{1} x_{2} = \frac{1}{a - 3}
Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
a+x2(a−3)(a+3)−x(2a2+5a−9)+3=0a + x^{2} \left(a - 3\right) \left(a + 3\right) - x \left(2 a^{2} + 5 a - 9\right) + 3 = 0
Коэффициент при x равен
(a−3)(a+3)\left(a - 3\right) \left(a + 3\right)
entonces son posibles los casos para a :
a<−3a < -3
a=−3a = -3
a>−3∧a<3a > -3 \wedge a < 3
a=3a = 3
Consideremos todos los casos con detalles:
Con
a<−3a < -3
la ecuación será
7x2−3x−1=07 x^{2} - 3 x - 1 = 0
su solución
x=314−3714x = \frac{3}{14} - \frac{\sqrt{37}}{14}
x=314+3714x = \frac{3}{14} + \frac{\sqrt{37}}{14}
Con
a=−3a = -3
la ecuación será
6x=06 x = 0
su solución
x=0x = 0
Con
a>−3∧a<3a > -3 \wedge a < 3
la ecuación será
−9x2+9x+3=0- 9 x^{2} + 9 x + 3 = 0
su solución
x=12−216x = \frac{1}{2} - \frac{\sqrt{21}}{6}
x=12+216x = \frac{1}{2} + \frac{\sqrt{21}}{6}
Con
a=3a = 3
la ecuación será
6−24x=06 - 24 x = 0
su solución
x=14x = \frac{1}{4}
Gráfica
Respuesta rápida [src] 
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       |/       2        2   \ |          4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/|                |   |         2          2                4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/||            |   /       2        2   \ |         2          2                4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/||   |          4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/|                |            
       |\-9 + re (a) - im (a)/*|5*im(a) - \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4*im(a)*re(a)|   |-9 - 2*im (a) + 2*re (a) + 5*re(a) - \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(a)*re(a)|   \-9 + re (a) - im (a)/*|-9 - 2*im (a) + 2*re (a) + 5*re(a) - \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   |5*im(a) - \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4*im(a)*re(a)|*im(a)*re(a)
       |                       \                                                                                                                                                                                                                                      \                                                                                                        2                                                                                                         /                /   \                                                                                                                                                                                                                                                                 \                                                                                                        2                                                                                                         //            |                          \                                                                                                                                                                                                                                                                 \                                                                                                        2                                                                                                         //   \                                                                                                                                                                                                                                      \                                                                                                        2                                                                                                         /                /            
x1 = I*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
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       |                                                                                                                                                                                                                             |/       2        2   \        2      2   |                                                                                                                                                                                                                                                                                                                                                                                                                                                           /       2        2   \        2      2                                                                                                                                                                                                                                |                                                                                                                                                                                                                                     |/       2        2   \        2      2   |                                                                                                                                                                                                                                                                                                                                                                                                                                                           /       2        2   \        2      2                                                                                                                                                                                                                           
       \                                                                                                                                                                                                                           2*\\-9 + re (a) - im (a)/  + 4*im (a)*re (a)/                                                                                                                                                                                                                                                                                                                                                                                                                                                           \-9 + re (a) - im (a)/  + 4*im (a)*re (a)                                                                                                                                                                                                                             /                                                                                                                                                                                                                                   2*\\-9 + re (a) - im (a)/  + 4*im (a)*re (a)/                                                                                                                                                                                                                                                                                                                                                                                                                                                           \-9 + re (a) - im (a)/  + 4*im (a)*re (a)
x1=i((−(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24sin⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+4re⁡(a)im⁡(a)+5im⁡(a))((re⁡(a))2−(im⁡(a))2−9)2(((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2)−(−(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24cos⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+2(re⁡(a))2+5re⁡(a)−2(im⁡(a))2−9)re⁡(a)im⁡(a)((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2)+(−(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24sin⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+4re⁡(a)im⁡(a)+5im⁡(a))re⁡(a)im⁡(a)((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2+((re⁡(a))2−(im⁡(a))2−9)(−(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24cos⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+2(re⁡(a))2+5re⁡(a)−2(im⁡(a))2−9)2(((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2)x_{1} = i \left(\frac{\left(- \sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 4 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 5 \operatorname{im}{\left(a\right)}\right) \left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)}{2 \left(\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}\right)} - \frac{\left(- \sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 2 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 5 \operatorname{re}{\left(a\right)} - 2 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right) \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) + \frac{\left(- \sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 4 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 5 \operatorname{im}{\left(a\right)}\right) \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right) \left(- \sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 2 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 5 \operatorname{re}{\left(a\right)} - 2 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)}{2 \left(\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}\right)} 
       /                       /              ____________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                        \   /                                         ____________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                        \            \                          /                                         ____________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                        \   /              ____________________________________________________________________________________________________________________________________________________________________________________________________________________                                                                                                                                                                                                                                        \            
       |                       |             /                                                                                               2                                                                                                                  2     /     /                 3                            3                 3                 2                                 2          4          4           3           2           2                 2      2   \\                |   |                                        /                                                                                               2                                                                                                                  2     /     /                 3                            3                 3                 2                                 2          4          4           3           2           2                 2      2   \\|            |                          |                                        /                                                                                               2                                                                                                                  2     /     /                 3                            3                 3                 2                                 2          4          4           3           2           2                 2      2   \\|   |             /                                                                                               2                                                                                                                  2     /     /                 3                            3                 3                 2                                 2          4          4           3           2           2                 2      2   \\                |            
       |/       2        2   \ |          4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/|                |   |         2          2                4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/||            |   /       2        2   \ |         2          2                4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/||   |          4 /  /                 3                            3                 3                 2         \    /                      2          4          4           3           2           2                 2      2   \      |atan2\-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a), 189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/|                |            
       |\-9 + re (a) - im (a)/*|5*im(a) + \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4*im(a)*re(a)|   |-9 - 2*im (a) + 2*re (a) + 5*re(a) + \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||*im(a)*re(a)|   \-9 + re (a) - im (a)/*|-9 - 2*im (a) + 2*re (a) + 5*re(a) + \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *cos|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------||   |5*im(a) + \/   \-54*im(a) - 16*im (a) - 46*im(a)*re(a) - 16*im (a)*re(a) + 16*re (a)*im(a) + 48*re (a)*im(a)/  + \189 - 54*re(a) - 23*re (a) + 4*im (a) + 4*re (a) + 16*re (a) + 23*im (a) - 48*im (a)*re(a) - 24*im (a)*re (a)/  *sin|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 4*im(a)*re(a)|*im(a)*re(a)
       |                       \                                                                                                                                                                                                                                      \                                                                                                        2                                                                                                         /                /   \                                                                                                                                                                                                                                                                 \                                                                                                        2                                                                                                         //            |                          \                                                                                                                                                                                                                                                                 \                                                                                                        2                                                                                                         //   \                                                                                                                                                                                                                                      \                                                                                                        2                                                                                                         /                /            
x2 = I*|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       |                                                                                                                                                                                                                             /                      2                  \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                               |                                                                                                                                                                                                                                     /                      2                  \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 2                                                                                                                                                                                                                                          
       |                                                                                                                                                                                                                             |/       2        2   \        2      2   |                                                                                                                                                                                                                                                                                                                                                                                                                                                           /       2        2   \        2      2                                                                                                                                                                                                                                |                                                                                                                                                                                                                                     |/       2        2   \        2      2   |                                                                                                                                                                                                                                                                                                                                                                                                                                                           /       2        2   \        2      2                                                                                                                                                                                                                           
       \                                                                                                                                                                                                                           2*\\-9 + re (a) - im (a)/  + 4*im (a)*re (a)/                                                                                                                                                                                                                                                                                                                                                                                                                                                           \-9 + re (a) - im (a)/  + 4*im (a)*re (a)                                                                                                                                                                                                                             /                                                                                                                                                                                                                                   2*\\-9 + re (a) - im (a)/  + 4*im (a)*re (a)/                                                                                                                                                                                                                                                                                                                                                                                                                                                           \-9 + re (a) - im (a)/  + 4*im (a)*re (a)
x2=i(((16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24sin⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+4re⁡(a)im⁡(a)+5im⁡(a))((re⁡(a))2−(im⁡(a))2−9)2(((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2)−((16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24cos⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+2(re⁡(a))2+5re⁡(a)−2(im⁡(a))2−9)re⁡(a)im⁡(a)((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2)+((16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24sin⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+4re⁡(a)im⁡(a)+5im⁡(a))re⁡(a)im⁡(a)((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2+((re⁡(a))2−(im⁡(a))2−9)((16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a))2+(4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)24cos⁡(atan2⁡(16(re⁡(a))3im⁡(a)+48(re⁡(a))2im⁡(a)−16re⁡(a)(im⁡(a))3−46re⁡(a)im⁡(a)−16(im⁡(a))3−54im⁡(a),4(re⁡(a))4+16(re⁡(a))3−24(re⁡(a))2(im⁡(a))2−23(re⁡(a))2−48re⁡(a)(im⁡(a))2−54re⁡(a)+4(im⁡(a))4+23(im⁡(a))2+189)2)+2(re⁡(a))2+5re⁡(a)−2(im⁡(a))2−9)2(((re⁡(a))2−(im⁡(a))2−9)2+4(re⁡(a))2(im⁡(a))2)x_{2} = i \left(\frac{\left(\sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 4 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 5 \operatorname{im}{\left(a\right)}\right) \left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)}{2 \left(\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}\right)} - \frac{\left(\sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 2 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 5 \operatorname{re}{\left(a\right)} - 2 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right) \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}}\right) + \frac{\left(\sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 4 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} + 5 \operatorname{im}{\left(a\right)}\right) \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)}}{\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}} + \frac{\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right) \left(\sqrt[4]{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)}\right)^{2} + \left(4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16 \left(\operatorname{re}{\left(a\right)}\right)^{3} \operatorname{im}{\left(a\right)} + 48 \left(\operatorname{re}{\left(a\right)}\right)^{2} \operatorname{im}{\left(a\right)} - 16 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{3} - 46 \operatorname{re}{\left(a\right)} \operatorname{im}{\left(a\right)} - 16 \left(\operatorname{im}{\left(a\right)}\right)^{3} - 54 \operatorname{im}{\left(a\right)},4 \left(\operatorname{re}{\left(a\right)}\right)^{4} + 16 \left(\operatorname{re}{\left(a\right)}\right)^{3} - 24 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 23 \left(\operatorname{re}{\left(a\right)}\right)^{2} - 48 \operatorname{re}{\left(a\right)} \left(\operatorname{im}{\left(a\right)}\right)^{2} - 54 \operatorname{re}{\left(a\right)} + 4 \left(\operatorname{im}{\left(a\right)}\right)^{4} + 23 \left(\operatorname{im}{\left(a\right)}\right)^{2} + 189 \right)}}{2} \right)} + 2 \left(\operatorname{re}{\left(a\right)}\right)^{2} + 5 \operatorname{re}{\left(a\right)} - 2 \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)}{2 \left(\left(\left(\operatorname{re}{\left(a\right)}\right)^{2} - \left(\operatorname{im}{\left(a\right)}\right)^{2} - 9\right)^{2} + 4 \left(\operatorname{re}{\left(a\right)}\right)^{2} \left(\operatorname{im}{\left(a\right)}\right)^{2}\right)} 
x2 = i*((((16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a))^2 + (4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)^2)^(1/4)*sin(atan2(16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a, 4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)/2) + 4*re(a)*im(a) + 5*im(a))*(re(a)^2 - im(a)^2 - 9)/(2*((re(a)^2 - im(a)^2 - 9)^2 + 4*re(a)^2*im(a)^2)) - (((16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a))^2 + (4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)^2)^(1/4)*cos(atan2(16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a), 4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)/2) + 2*re(a)^2 + 5*re(a) - 2*im(a)^2 - 9)*re(a)*im(a)/((re(a)^2 - im(a)^2 - 9)^2 + 4*re(a)^2*im(a)^2)) + (((16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a))^2 + (4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)^2)^(1/4)*sin(atan2(16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a), 4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)/2) + 4*re(a)*im(a) + 5*im(a))*re(a)*im(a)/((re(a)^2 - im(a)^2 - 9)^2 + 4*re(a)^2*im(a)^2) + (re(a)^2 - im(a)^2 - 9)*(((16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a))^2 + (4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)^2)^(1/4)*cos(atan2(16*re(a)^3*im(a) + 48*re(a)^2*im(a) - 16*re(a)*im(a)^3 - 46*re(a)*im(a) - 16*im(a)^3 - 54*im(a), 4*re(a)^4 + 16*re(a)^3 - 24*re(a)^2*im(a)^2 - 23*re(a)^2 - 48*re(a)*im(a)^2 - 54*re(a) + 4*im(a)^4 + 23*im(a)^2 + 189)/2) + 2*re(a)^2 + 5*re(a) - 2*im(a)^2 - 9)/(2*((re(a)^2 - im(a)^2 - 9)^2 + 4*re(a)^2*im(a)^2)))
    © Sr Examen – Калькулятор