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((2/3)^5x^2-29-(3/2)^x62-5)*√(4x+7)=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] 
/   5  2           x62    \   _________    
\2/3 *x  - 29 - 3/2    - 5/*\/ 4*x + 7  = 0
4x+7((−(32)x62+((23)5x2−29))−5)=0\sqrt{4 x + 7} \left(\left(- \left(\frac{3}{2}\right)^{x_{62}} + \left(\left(\frac{2}{3}\right)^{5} x^{2} - 29\right)\right) - 5\right) = 0
Simplificar
Solución detallada
Tenemos la ecuación:
4x+7((−(32)x62+((23)5x2−29))−5)=0\sqrt{4 x + 7} \left(\left(- \left(\frac{3}{2}\right)^{x_{62}} + \left(\left(\frac{2}{3}\right)^{5} x^{2} - 29\right)\right) - 5\right) = 0
Ya que la parte derecha de la ecuación es igual a cero, la solución de la ecuación será, si por lo menos uno de los factores en la parte izquierda de la ecuación es igual a cero.
Obtenemos ecuaciones
4x+7=04 x + 7 = 0
−(32)x62+32x2243−34=0- \left(\frac{3}{2}\right)^{x_{62}} + \frac{32 x^{2}}{243} - 34 = 0
resolvemos las ecuaciones obtenidas:
1.
4x+7=04 x + 7 = 0
Transportamos los términos libres (sin x)
del miembro izquierdo al derecho, obtenemos:
4x=−74 x = -7
Dividamos ambos miembros de la ecuación en 4
x = -7 / (4)

Obtenemos la respuesta: x1 = -7/4
2.
−(32)x62+32x2243−34=0- \left(\frac{3}{2}\right)^{x_{62}} + \frac{32 x^{2}}{243} - 34 = 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:
x2=D−b2ax_{2} = \frac{\sqrt{D} - b}{2 a}
x3=−D−b2ax_{3} = \frac{- \sqrt{D} - b}{2 a}
donde D = b^2 - 4*a*c es el discriminante.
Como
a=32243a = \frac{32}{243}
b=0b = 0
c=−(32)x62−34c = - \left(\frac{3}{2}\right)^{x_{62}} - 34
, entonces
D = b^2 - 4 * a * c = 

(0)^2 - 4 * (32/243) * (-34 - (3/2)^x62) = 4352/243 + 128*(3/2)^x62/243

La ecuación tiene dos raíces.
x2 = (-b + sqrt(D)) / (2*a)

x3 = (-b - sqrt(D)) / (2*a)

o
x2=243128(32)x62243+435224364x_{2} = \frac{243 \sqrt{\frac{128 \left(\frac{3}{2}\right)^{x_{62}}}{243} + \frac{4352}{243}}}{64}
x3=−243128(32)x62243+435224364x_{3} = - \frac{243 \sqrt{\frac{128 \left(\frac{3}{2}\right)^{x_{62}}}{243} + \frac{4352}{243}}}{64}
Entonces la respuesta definitiva es:
x1=−74x_{1} = - \frac{7}{4}
x2=243128(32)x62243+435224364x_{2} = \frac{243 \sqrt{\frac{128 \left(\frac{3}{2}\right)^{x_{62}}}{243} + \frac{4352}{243}}}{64}
x3=−243128(32)x62243+435224364x_{3} = - \frac{243 \sqrt{\frac{128 \left(\frac{3}{2}\right)^{x_{62}}}{243} + \frac{4352}{243}}}{64}
Gráfica
Suma y producto de raíces [src] 
suma
              __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\           __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\         __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\           __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\
             /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||          /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||        /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||          /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||
            /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||         /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||       /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||         /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||
  7        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|      /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|
- - + - 4 /    |---- + --------------------|  + ----------------------- *cos|--------------------------------------------------------| - I*4 /    |---- + --------------------|  + ----------------------- *sin|--------------------------------------------------------| + 4 /    |---- + --------------------|  + ----------------------- *cos|--------------------------------------------------------| + I*4 /    |---- + --------------------|  + ----------------------- *sin|--------------------------------------------------------|
  4     \/     \ 16             32         /              1024              \                           2                            /     \/     \ 16             32         /              1024              \                           2                            /   \/     \ 16             32         /              1024              \                           2                            /     \/     \ 16             32         /              1024              \                           2                            /
(i(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244sin⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)+(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244cos⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2))+((−i(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244sin⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)−(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244cos⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2))−74)\left(i \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} + \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)}\right) + \left(\left(- i \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} - \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)}\right) - \frac{7}{4}\right) 
=
-7/4
−74- \frac{7}{4} 
producto
   /        __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\           __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\\                                                                                                                                                                                                                                                                    
   |       /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||          /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /|||                                                                                                                                                                                                                                                                    
   |      /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||         /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||| /      __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\           __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\\
   |     /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|| |     /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||          /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /|||
-7*|- 4 /    |---- + --------------------|  + ----------------------- *cos|--------------------------------------------------------| - I*4 /    |---- + --------------------|  + ----------------------- *sin|--------------------------------------------------------|| |    /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||         /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------|||
   \  \/     \ 16             32         /              1024              \                           2                            /     \/     \ 16             32         /              1024              \                           2                            // |   /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /||
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------*|4 /    |---- + --------------------|  + ----------------------- *cos|--------------------------------------------------------| + I*4 /    |---- + --------------------|  + ----------------------- *sin|--------------------------------------------------------||
                                                                                                                                   4                                                                                                                                     \\/     \ 16             32         /              1024              \                           2                            /     \/     \ 16             32         /              1024              \                           2                            //
−7(−i(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244sin⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)−(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244cos⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2))4(i(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244sin⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)+(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244cos⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2))- \frac{7 \left(- i \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} - \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)}\right)}{4} \left(i \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} + \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)}\right) 
=
                                                            /      log(3)*re(x62) - log(2)*re(x62)                                                                                        log(3)*re(x62) - log(2)*re(x62)\
         __________________________________________         |-243*e                               *sin(im(x62)*log(2) - im(x62)*log(3))  4131   243*cos(im(x62)*log(2) - im(x62)*log(3))*e                               |
        /                      2                     I*atan2|--------------------------------------------------------------------------, ---- + -------------------------------------------------------------------------|
       /  /       / -x62  x62\\      2/ -x62  x62\          \                                    32                                       16                                        32                                   /
1701*\/   \34 + re\2    *3   //  + im \2    *3   / *e                                                                                                                                                                     
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                           128
1701(re⁡(2−x62⋅3x62)+34)2+(im⁡(2−x62⋅3x62))2eiatan2⁡(−243e−log⁡(2)re⁡(x62)+log⁡(3)re⁡(x62)sin⁡(−log⁡(3)im⁡(x62)+log⁡(2)im⁡(x62))32,243e−log⁡(2)re⁡(x62)+log⁡(3)re⁡(x62)cos⁡(−log⁡(3)im⁡(x62)+log⁡(2)im⁡(x62))32+413116)128\frac{1701 \sqrt{\left(\operatorname{re}{\left(2^{- x_{62}} \cdot 3^{x_{62}}\right)} + 34\right)^{2} + \left(\operatorname{im}{\left(2^{- x_{62}} \cdot 3^{x_{62}}\right)}\right)^{2}} e^{i \operatorname{atan_{2}}{\left(- \frac{243 e^{- \log{\left(2 \right)} \operatorname{re}{\left(x_{62}\right)} + \log{\left(3 \right)} \operatorname{re}{\left(x_{62}\right)}} \sin{\left(- \log{\left(3 \right)} \operatorname{im}{\left(x_{62}\right)} + \log{\left(2 \right)} \operatorname{im}{\left(x_{62}\right)} \right)}}{32},\frac{243 e^{- \log{\left(2 \right)} \operatorname{re}{\left(x_{62}\right)} + \log{\left(3 \right)} \operatorname{re}{\left(x_{62}\right)}} \cos{\left(- \log{\left(3 \right)} \operatorname{im}{\left(x_{62}\right)} + \log{\left(2 \right)} \operatorname{im}{\left(x_{62}\right)} \right)}}{32} + \frac{4131}{16} \right)}}}{128} 
1701*sqrt((34 + re(2^(-x62)*3^x62))^2 + im(2^(-x62)*3^x62)^2)*exp(i*atan2(-243*exp(log(3)*re(x62) - log(2)*re(x62))*sin(im(x62)*log(2) - im(x62)*log(3))/32, 4131/16 + 243*cos(im(x62)*log(2) - im(x62)*log(3))*exp(log(3)*re(x62) - log(2)*re(x62))/32))/128
Respuesta rápida [src] 
x1 = -7/4
x1=−74x_{1} = - \frac{7}{4} 
             __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\           __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\
            /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||          /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||
           /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||         /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||
          /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|
x2 = - 4 /    |---- + --------------------|  + ----------------------- *cos|--------------------------------------------------------| - I*4 /    |---- + --------------------|  + ----------------------- *sin|--------------------------------------------------------|
       \/     \ 16             32         /              1024              \                           2                            /     \/     \ 16             32         /              1024              \                           2                            /
x2=−i(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244sin⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)−(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244cos⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)x_{2} = - i \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} - \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} 
           __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\           __________________________________________________________    /     /      / -2*x62  x62\               / -2*x62  x62\\\
          /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||          /                              2                               |     |243*im\2      *6   /  4131   243*re\2      *6   /||
         /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||         /  /             / -2*x62  x62\\            2/ -2*x62  x62\     |atan2|--------------------, ---- + --------------------||
        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|        /   |4131   243*re\2      *6   /|    59049*im \2      *6   /     |     \         32            16             32         /|
x3 = 4 /    |---- + --------------------|  + ----------------------- *cos|--------------------------------------------------------| + I*4 /    |---- + --------------------|  + ----------------------- *sin|--------------------------------------------------------|
     \/     \ 16             32         /              1024              \                           2                            /     \/     \ 16             32         /              1024              \                           2                            /
x3=i(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244sin⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)+(243re⁡(2−2x62⋅6x62)32+413116)2+59049(im⁡(2−2x62⋅6x62))210244cos⁡(atan2⁡(243im⁡(2−2x62⋅6x62)32,243re⁡(2−2x62⋅6x62)32+413116)2)x_{3} = i \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} + \sqrt[4]{\left(\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16}\right)^{2} + \frac{59049 \left(\operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}\right)^{2}}{1024}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(\frac{243 \operatorname{im}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32},\frac{243 \operatorname{re}{\left(2^{- 2 x_{62}} \cdot 6^{x_{62}}\right)}}{32} + \frac{4131}{16} \right)}}{2} \right)} 
x3 = i*((243*re(2^(-2*x62)*6^x62)/32 + 4131/16)^2 + 59049*im(2^(-2*x62)*6^x62)^2/1024)^(1/4)*sin(atan2(243*im(2^(-2*x62)*6^x62/32, 243*re(2^(-2*x62)*6^x62)/32 + 4131/16)/2) + ((243*re(2^(-2*x62)*6^x62)/32 + 4131/16)^2 + 59049*im(2^(-2*x62)*6^x62)^2/1024)^(1/4)*cos(atan2(243*im(2^(-2*x62)*6^x62)/32, 243*re(2^(-2*x62)*6^x62)/32 + 4131/16)/2))
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