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log(3x+7,9+12x+4x2)=4-log(2x+3,6x2+23x+21) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   /      79              \          /      18*x2            \
log|3*x + -- + 12*x + 4*x2| = 4 - log|2*x + ----- + 23*x + 21|
   \      10              /          \        5              /
$$\log{\left(4 x_{2} + \left(12 x + \left(3 x + \frac{79}{10}\right)\right) \right)} = 4 - \log{\left(\left(23 x + \left(2 x + \frac{18 x_{2}}{5}\right)\right) + 21 \right)}$$
Gráfica
Respuesta rápida [src]
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                          |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||   4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/|
                          |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||   \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *cos|--------------------------------------------------------------------------------------------------------|
       41   77*re(x2)     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|                                                                                                                     \                                                   2                                                    /
x1 = - -- - --------- + I*|- --------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       60      375        \     375                                                                                                                  1500                                                                                                            /                                                                                                               1500                                                                                                            
$$x_{1} = i \left(- \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) - \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{re}{\left(x_{2}\right)}}{375} - \frac{41}{60}$$
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                          |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||   4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/|
                          |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||   \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *cos|--------------------------------------------------------------------------------------------------------|
       41   77*re(x2)     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|                                                                                                                     \                                                   2                                                    /
x2 = - -- - --------- + I*|- --------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       60      375        \     375                                                                                                                  1500                                                                                                            /                                                                                                               1500                                                                                                            
$$x_{2} = i \left(\frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) + \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{re}{\left(x_{2}\right)}}{375} - \frac{41}{60}$$
x2 = i*(((16928*re(x2)*im(x2) - 43240*im(x2))^2 + (8464*re(x2)^2 - 43240*re(x2) - 8464*im(x2)^2 + 55225 + 6000*exp(4))^2)^(1/4)*sin(atan2(16928*re(x2)*im(x2) - 43240*im(x2, 8464*re(x2)^2 - 43240*re(x2) - 8464*im(x2)^2 + 55225 + 6000*exp(4))/2)/1500 - 77*im(x2)/375) + ((16928*re(x2)*im(x2) - 43240*im(x2))^2 + (8464*re(x2)^2 - 43240*re(x2) - 8464*im(x2)^2 + 55225 + 6000*exp(4))^2)^(1/4)*cos(atan2(16928*re(x2)*im(x2) - 43240*im(x2), 8464*re(x2)^2 - 43240*re(x2) - 8464*im(x2)^2 + 55225 + 6000*exp(4))/2)/1500 - 77*re(x2)/375 - 41/60)
Suma y producto de raíces [src]
suma
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                     |                 /                                                                                                        2     /     /                                                                   2             4          2    \\|      /                                                                                                        2     /     /                                                                   2             4          2    \\                        |                 /                                                                                                        2     /     /                                                                   2             4          2    \\|      /                                                                                                        2     /     /                                                                   2             4          2    \\
                     |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||   4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/|                        |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||   4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/|
                     |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||   \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *cos|--------------------------------------------------------------------------------------------------------|                        |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||   \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *cos|--------------------------------------------------------------------------------------------------------|
  41   77*re(x2)     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|                                                                                                                     \                                                   2                                                    /     41   77*re(x2)     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|                                                                                                                     \                                                   2                                                    /
- -- - --------- + I*|- --------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - -- - --------- + I*|- --------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
  60      375        \     375                                                                                                                  1500                                                                                                            /                                                                                                               1500                                                                                                                 60      375        \     375                                                                                                                  1500                                                                                                            /                                                                                                               1500                                                                                                            
$$\left(i \left(- \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) - \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{re}{\left(x_{2}\right)}}{375} - \frac{41}{60}\right) + \left(i \left(\frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) + \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{re}{\left(x_{2}\right)}}{375} - \frac{41}{60}\right)$$
=
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                      |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||     |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||
                      |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||     |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||
  41   154*re(x2)     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|
- -- - ---------- + I*|- --------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*|- --------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
  30      375         \     375                                                                                                                  1500                                                                                                            /     \     375                                                                                                                  1500                                                                                                            /
$$i \left(- \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) + i \left(\frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) - \frac{154 \operatorname{re}{\left(x_{2}\right)}}{375} - \frac{41}{30}$$
producto
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|                     |                 /                                                                                                        2     /     /                                                                   2             4          2    \\|      /                                                                                                        2     /     /                                                                   2             4          2    \\| |                     |                 /                                                                                                        2     /     /                                                                   2             4          2    \\|      /                                                                                                        2     /     /                                                                   2             4          2    \\|
|                     |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||   4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/|| |                     |              4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||   4 /                                       2   /                              2             4          2    \      |atan2\-43240*im(x2) + 16928*im(x2)*re(x2), 55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/||
|                     |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||   \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *cos|--------------------------------------------------------------------------------------------------------|| |                     |              \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *sin|--------------------------------------------------------------------------------------------------------||   \/   (-43240*im(x2) + 16928*im(x2)*re(x2))  + \55225 - 43240*re(x2) - 8464*im (x2) + 6000*e  + 8464*re (x2)/  *cos|--------------------------------------------------------------------------------------------------------||
|  41   77*re(x2)     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|                                                                                                                     \                                                   2                                                    /| |  41   77*re(x2)     |  77*im(x2)                                                                                                                     \                                                   2                                                    /|                                                                                                                     \                                                   2                                                    /|
|- -- - --------- + I*|- --------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- -- - --------- + I*|- --------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\  60      375        \     375                                                                                                                  1500                                                                                                            /                                                                                                               1500                                                                                                            / \  60      375        \     375                                                                                                                  1500                                                                                                            /                                                                                                               1500                                                                                                            /
$$\left(i \left(- \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) - \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{re}{\left(x_{2}\right)}}{375} - \frac{41}{60}\right) \left(i \left(\frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{im}{\left(x_{2}\right)}}{375}\right) + \frac{\sqrt[4]{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4}\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(16928 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} - 43240 \operatorname{im}{\left(x_{2}\right)},8464 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} - 43240 \operatorname{re}{\left(x_{2}\right)} - 8464 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 55225 + 6000 e^{4} \right)}}{2} \right)}}{1500} - \frac{77 \operatorname{re}{\left(x_{2}\right)}}{375} - \frac{41}{60}\right)$$
=
            2         4        2                                                     
553    24*im (x2)    e    24*re (x2)   937*re(x2)   937*I*im(x2)   48*I*im(x2)*re(x2)
---- - ---------- - --- + ---------- + ---------- + ------------ + ------------------
1250      625       375      625          3125          3125              625        
$$\frac{24 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2}}{625} + \frac{48 i \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)}}{625} + \frac{937 \operatorname{re}{\left(x_{2}\right)}}{3125} - \frac{24 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2}}{625} + \frac{937 i \operatorname{im}{\left(x_{2}\right)}}{3125} - \frac{e^{4}}{375} + \frac{553}{1250}$$
553/1250 - 24*im(x2)^2/625 - exp(4)/375 + 24*re(x2)^2/625 + 937*re(x2)/3125 + 937*i*im(x2)/3125 + 48*i*im(x2)*re(x2)/625