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- La ecuación:
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Ecuación 3^x=7
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Ecuación z^2+z+1=0
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Ecuación 8*x=2
- Expresar {x} en función de y en la ecuación:
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Expresiones idénticas
- (tres -x)(x- siete)/x2+7x- ocho = cero
- (3 menos x)(x menos 7) dividir por x2 más 7x menos 8 es igual a 0
- (tres menos x)(x menos siete) dividir por x2 más 7x menos ocho es igual a cero
- 3-xx-7/x2+7x-8=0
- (3-x)(x-7)/x2+7x-8=O
- (3-x)(x-7) dividir por x2+7x-8=0
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Expresiones semejantes
- (3-x)(x-7)/x2+7x+8=0
- (3-x)(x-7)/x2-7x-8=0
- (3-x)(x+7)/x2+7x-8=0
- (3+x)(x-7)/x2+7x-8=0
(3-x)(x-7)/x2+7x-8=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
(3 - x)*(x - 7)
--------------- + 7*x - 8 = 0
x2
$$\left(7 x + \frac{\left(3 - x\right) \left(x - 7\right)}{x_{2}}\right) - 8 = 0$$
Solución detallada
Abramos la expresión en la ecuación
$$\left(7 x + \frac{\left(3 - x\right) \left(x - 7\right)}{x_{2}}\right) - 8 = 0$$
Obtenemos la ecuación cuadrática
$$- \frac{x^{2}}{x_{2}} + 7 x + \frac{10 x}{x_{2}} - 8 - \frac{21}{x_{2}} = 0$$
Es la ecuación de la forma
La ecuación cuadrática puede ser resuelta
con la ayuda del discriminante.
Las raíces de la ecuación cuadrática:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = - \frac{1}{x_{2}}$$
$$b = 7 + \frac{10}{x_{2}}$$
$$c = -8 - \frac{21}{x_{2}}$$
, entonces
La ecuación tiene dos raíces.
o
$$x_{1} = - \frac{x_{2} \left(\sqrt{\left(7 + \frac{10}{x_{2}}\right)^{2} + \frac{4 \left(-8 - \frac{21}{x_{2}}\right)}{x_{2}}} - 7 - \frac{10}{x_{2}}\right)}{2}$$
$$x_{2} = - \frac{x_{2} \left(- \sqrt{\left(7 + \frac{10}{x_{2}}\right)^{2} + \frac{4 \left(-8 - \frac{21}{x_{2}}\right)}{x_{2}}} - 7 - \frac{10}{x_{2}}\right)}{2}$$
$$\left(7 x + \frac{\left(3 - x\right) \left(x - 7\right)}{x_{2}}\right) - 8 = 0$$
Obtenemos la ecuación cuadrática
$$- \frac{x^{2}}{x_{2}} + 7 x + \frac{10 x}{x_{2}} - 8 - \frac{21}{x_{2}} = 0$$
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:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
donde D = b^2 - 4*a*c es el discriminante.
Como
$$a = - \frac{1}{x_{2}}$$
$$b = 7 + \frac{10}{x_{2}}$$
$$c = -8 - \frac{21}{x_{2}}$$
, entonces
D = b^2 - 4 * a * c =
(7 + 10/x2)^2 - 4 * (-1/x2) * (-8 - 21/x2) = (7 + 10/x2)^2 + 4*(-8 - 21/x2)/x2
La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
o
$$x_{1} = - \frac{x_{2} \left(\sqrt{\left(7 + \frac{10}{x_{2}}\right)^{2} + \frac{4 \left(-8 - \frac{21}{x_{2}}\right)}{x_{2}}} - 7 - \frac{10}{x_{2}}\right)}{2}$$
$$x_{2} = - \frac{x_{2} \left(- \sqrt{\left(7 + \frac{10}{x_{2}}\right)^{2} + \frac{4 \left(-8 - \frac{21}{x_{2}}\right)}{x_{2}}} - 7 - \frac{10}{x_{2}}\right)}{2}$$
Gráfica
Suma y producto de raíces
[src]
suma
/ _________________________________________________________________________________ \ _________________________________________________________________________________ / _________________________________________________________________________________ \ _________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\ | / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/| | 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|
| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------|| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *cos|-------------------------------------------------------------------------------| | \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------|| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *cos|-------------------------------------------------------------------------------|
7*re(x2) |7*im(x2) \ 2 /| \ 2 / 7*re(x2) |7*im(x2) \ 2 /| \ 2 /
5 + -------- + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 5 + -------- + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 \ 2 2 / 2 2 \ 2 2 / 2
$$\left(i \left(- \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) - \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{re}{\left(x_{2}\right)}}{2} + 5\right) + \left(i \left(\frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) + \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{re}{\left(x_{2}\right)}}{2} + 5\right)$$
=
/ _________________________________________________________________________________ \ / _________________________________________________________________________________ \
| / 2 / / 2 2 \\| | / 2 / / 2 2 \\|
| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| | 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/||
| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------|| | \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------||
|7*im(x2) \ 2 /| |7*im(x2) \ 2 /|
10 + 7*re(x2) + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\ 2 2 / \ 2 2 /
$$i \left(- \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) + i \left(\frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) + 7 \operatorname{re}{\left(x_{2}\right)} + 10$$
producto
/ / _________________________________________________________________________________ \ _________________________________________________________________________________ \ / / _________________________________________________________________________________ \ _________________________________________________________________________________ \ | | / 2 / / 2 2 \\| / 2 / / 2 2 \\| | | / 2 / / 2 2 \\| / 2 / / 2 2 \\| | | 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| | | 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| | | \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------|| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *cos|-------------------------------------------------------------------------------|| | | \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------|| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *cos|-------------------------------------------------------------------------------|| | 7*re(x2) |7*im(x2) \ 2 /| \ 2 /| | 7*re(x2) |7*im(x2) \ 2 /| \ 2 /| |5 + -------- + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|5 + -------- + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 \ 2 2 / 2 / \ 2 \ 2 2 / 2 /
$$\left(i \left(- \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) - \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{re}{\left(x_{2}\right)}}{2} + 5\right) \left(i \left(\frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) + \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{re}{\left(x_{2}\right)}}{2} + 5\right)$$
=
21 + 8*re(x2) + 8*I*im(x2)
$$8 \operatorname{re}{\left(x_{2}\right)} + 8 i \operatorname{im}{\left(x_{2}\right)} + 21$$
21 + 8*re(x2) + 8*i*im(x2)
Respuesta rápida
[src]
/ _________________________________________________________________________________ \ _________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|
| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------|| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *cos|-------------------------------------------------------------------------------|
7*re(x2) |7*im(x2) \ 2 /| \ 2 /
x1 = 5 + -------- + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 \ 2 2 / 2
$$x_{1} = i \left(- \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) - \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{re}{\left(x_{2}\right)}}{2} + 5$$
/ _________________________________________________________________________________ \ _________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|| 4 / 2 / 2 2 \ |atan2\108*im(x2) + 98*im(x2)*re(x2), 16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/|
| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *sin|-------------------------------------------------------------------------------|| \/ (108*im(x2) + 98*im(x2)*re(x2)) + \16 - 49*im (x2) + 49*re (x2) + 108*re(x2)/ *cos|-------------------------------------------------------------------------------|
7*re(x2) |7*im(x2) \ 2 /| \ 2 /
x2 = 5 + -------- + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 \ 2 2 / 2
$$x_{2} = i \left(\frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{im}{\left(x_{2}\right)}}{2}\right) + \frac{\sqrt[4]{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)}\right)^{2} + \left(49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(98 \operatorname{re}{\left(x_{2}\right)} \operatorname{im}{\left(x_{2}\right)} + 108 \operatorname{im}{\left(x_{2}\right)},49 \left(\operatorname{re}{\left(x_{2}\right)}\right)^{2} + 108 \operatorname{re}{\left(x_{2}\right)} - 49 \left(\operatorname{im}{\left(x_{2}\right)}\right)^{2} + 16 \right)}}{2} \right)}}{2} + \frac{7 \operatorname{re}{\left(x_{2}\right)}}{2} + 5$$
x2 = i*(((98*re(x2)*im(x2) + 108*im(x2))^2 + (49*re(x2)^2 + 108*re(x2) - 49*im(x2)^2 + 16)^2)^(1/4)*sin(atan2(98*re(x2)*im(x2) + 108*im(x2, 49*re(x2)^2 + 108*re(x2) - 49*im(x2)^2 + 16)/2)/2 + 7*im(x2)/2) + ((98*re(x2)*im(x2) + 108*im(x2))^2 + (49*re(x2)^2 + 108*re(x2) - 49*im(x2)^2 + 16)^2)^(1/4)*cos(atan2(98*re(x2)*im(x2) + 108*im(x2), 49*re(x2)^2 + 108*re(x2) - 49*im(x2)^2 + 16)/2)/2 + 7*re(x2)/2 + 5)