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- La ecuación:
-
Ecuación x^4+2*x^2-8=0
-
Ecuación x*(x^2+8*x+16)=5*(x+4)
-
Ecuación -25-x=-17
-
Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
- Derivada de:
-
13
- Integral de d{x}:
- 13
- Límite de la función:
- 13
-
Expresiones idénticas
- once /(2x-3y)+ dieciocho /(3x-2y)= trece
- 11 dividir por (2x menos 3y) más 18 dividir por (3x menos 2y) es igual a 13
- once dividir por (2x menos 3y) más dieciocho dividir por (3x menos 2y) es igual a trece
- 11/2x-3y+18/3x-2y=13
- 11 dividir por (2x-3y)+18 dividir por (3x-2y)=13
-
Expresiones semejantes
- 11/(2x-3y)-18/(3x-2y)=13
- (x-1)^3=-8
- 11/(2x-3y)+18/(3x+2y)=13
- 11/(2x+3y)+18/(3x-2y)=13
11/(2x-3y)+18/(3x-2y)=13 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
11 18 --------- + --------- = 13 2*x - 3*y 3*x - 2*y
$$\frac{18}{3 x - 2 y} + \frac{11}{2 x - 3 y} = 13$$
Solución detallada
Tenemos la ecuación:
$$\frac{18}{3 x - 2 y} + \frac{11}{2 x - 3 y} = 13$$
Multipliquemos las dos partes de la ecuación por los denominadores:
-3*y + 2*x y -2*y + 3*x
obtendremos:
$$\left(2 x - 3 y\right) \left(\frac{18}{3 x - 2 y} + \frac{11}{2 x - 3 y}\right) = 26 x - 39 y$$
$$\frac{69 x - 76 y}{3 x - 2 y} = 26 x - 39 y$$
$$\frac{69 x - 76 y}{3 x - 2 y} \left(3 x - 2 y\right) = \left(3 x - 2 y\right) \left(26 x - 39 y\right)$$
$$69 x - 76 y = 78 x^{2} - 169 x y + 78 y^{2}$$
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$69 x - 76 y = 78 x^{2} - 169 x y + 78 y^{2}$$
en
$$- 78 x^{2} + 169 x y + 69 x - 78 y^{2} - 76 y = 0$$
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
$$a = -78$$
$$b = 169 y + 69$$
$$c = - 78 y^{2} - 76 y$$
, entonces
La ecuación tiene dos raíces.
o
$$x_{1} = \frac{13 y}{12} - \frac{\sqrt{- 24336 y^{2} - 23712 y + \left(169 y + 69\right)^{2}}}{156} + \frac{23}{52}$$
$$x_{2} = \frac{13 y}{12} + \frac{\sqrt{- 24336 y^{2} - 23712 y + \left(169 y + 69\right)^{2}}}{156} + \frac{23}{52}$$
$$\frac{18}{3 x - 2 y} + \frac{11}{2 x - 3 y} = 13$$
Multipliquemos las dos partes de la ecuación por los denominadores:
-3*y + 2*x y -2*y + 3*x
obtendremos:
$$\left(2 x - 3 y\right) \left(\frac{18}{3 x - 2 y} + \frac{11}{2 x - 3 y}\right) = 26 x - 39 y$$
$$\frac{69 x - 76 y}{3 x - 2 y} = 26 x - 39 y$$
$$\frac{69 x - 76 y}{3 x - 2 y} \left(3 x - 2 y\right) = \left(3 x - 2 y\right) \left(26 x - 39 y\right)$$
$$69 x - 76 y = 78 x^{2} - 169 x y + 78 y^{2}$$
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$69 x - 76 y = 78 x^{2} - 169 x y + 78 y^{2}$$
en
$$- 78 x^{2} + 169 x y + 69 x - 78 y^{2} - 76 y = 0$$
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
$$a = -78$$
$$b = 169 y + 69$$
$$c = - 78 y^{2} - 76 y$$
, entonces
D = b^2 - 4 * a * c =
(69 + 169*y)^2 - 4 * (-78) * (-78*y^2 - 76*y) = (69 + 169*y)^2 - 24336*y^2 - 23712*y
La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
o
$$x_{1} = \frac{13 y}{12} - \frac{\sqrt{- 24336 y^{2} - 23712 y + \left(169 y + 69\right)^{2}}}{156} + \frac{23}{52}$$
$$x_{2} = \frac{13 y}{12} + \frac{\sqrt{- 24336 y^{2} - 23712 y + \left(169 y + 69\right)^{2}}}{156} + \frac{23}{52}$$
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\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/| | 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|
| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------|| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *cos|----------------------------------------------------------------------------------| | \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------|| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *cos|----------------------------------------------------------------------------------|
23 13*re(y) |13*im(y) \ 2 /| \ 2 / 23 13*re(y) |13*im(y) \ 2 /| \ 2 /
-- + -------- + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + -------- + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
52 12 \ 12 156 / 156 52 12 \ 12 156 / 156
$$\left(i \left(- \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) - \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{23}{52}\right) + \left(i \left(\frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) + \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{23}{52}\right)$$
=
/ ____________________________________________________________________________________ \ / ____________________________________________________________________________________ \
| / 2 / / 2 2 \\| | / 2 / / 2 2 \\|
| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| | 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/||
| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------|| | \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------||
23 13*re(y) |13*im(y) \ 2 /| |13*im(y) \ 2 /|
-- + -------- + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
26 6 \ 12 156 / \ 12 156 /
$$i \left(- \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) + i \left(\frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) + \frac{13 \operatorname{re}{\left(y\right)}}{6} + \frac{23}{26}$$
producto
/ / ____________________________________________________________________________________ \ ____________________________________________________________________________________ \ / / ____________________________________________________________________________________ \ ____________________________________________________________________________________ \ | | / 2 / / 2 2 \\| / 2 / / 2 2 \\| | | / 2 / / 2 2 \\| / 2 / / 2 2 \\| | | 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| | | 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| | | \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------|| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *cos|----------------------------------------------------------------------------------|| | | \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------|| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *cos|----------------------------------------------------------------------------------|| |23 13*re(y) |13*im(y) \ 2 /| \ 2 /| |23 13*re(y) |13*im(y) \ 2 /| \ 2 /| |-- + -------- + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + -------- + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \52 12 \ 12 156 / 156 / \52 12 \ 12 156 / 156 /
$$\left(i \left(- \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) - \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{23}{52}\right) \left(i \left(\frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) + \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{23}{52}\right)$$
=
2 2 38*re(y) 38*I*im(y)
re (y) - im (y) + -------- + ---------- + 2*I*im(y)*re(y)
39 39
$$\left(\operatorname{re}{\left(y\right)}\right)^{2} + 2 i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + \frac{38 \operatorname{re}{\left(y\right)}}{39} - \left(\operatorname{im}{\left(y\right)}\right)^{2} + \frac{38 i \operatorname{im}{\left(y\right)}}{39}$$
re(y)^2 - im(y)^2 + 38*re(y)/39 + 38*i*im(y)/39 + 2*i*im(y)*re(y)
Respuesta rápida
[src]
/ ____________________________________________________________________________________ \ ____________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|
| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------|| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *cos|----------------------------------------------------------------------------------|
23 13*re(y) |13*im(y) \ 2 /| \ 2 /
x1 = -- + -------- + I*|-------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
52 12 \ 12 156 / 156
$$x_{1} = i \left(- \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) - \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{23}{52}$$
/ ____________________________________________________________________________________ \ ____________________________________________________________________________________
| / 2 / / 2 2 \\| / 2 / / 2 2 \\
| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|| 4 / 2 / 2 2 \ |atan2\-390*im(y) + 8450*im(y)*re(y), 4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/|
| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *sin|----------------------------------------------------------------------------------|| \/ (-390*im(y) + 8450*im(y)*re(y)) + \4761 - 4225*im (y) - 390*re(y) + 4225*re (y)/ *cos|----------------------------------------------------------------------------------|
23 13*re(y) |13*im(y) \ 2 /| \ 2 /
x2 = -- + -------- + I*|-------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
52 12 \ 12 156 / 156
$$x_{2} = i \left(\frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{im}{\left(y\right)}}{12}\right) + \frac{\sqrt[4]{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)}\right)^{2} + \left(4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(8450 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 390 \operatorname{im}{\left(y\right)},4225 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 390 \operatorname{re}{\left(y\right)} - 4225 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 4761 \right)}}{2} \right)}}{156} + \frac{13 \operatorname{re}{\left(y\right)}}{12} + \frac{23}{52}$$
x2 = i*(((8450*re(y)*im(y) - 390*im(y))^2 + (4225*re(y)^2 - 390*re(y) - 4225*im(y)^2 + 4761)^2)^(1/4)*sin(atan2(8450*re(y)*im(y) - 390*im(y, 4225*re(y)^2 - 390*re(y) - 4225*im(y)^2 + 4761)/2)/156 + 13*im(y)/12) + ((8450*re(y)*im(y) - 390*im(y))^2 + (4225*re(y)^2 - 390*re(y) - 4225*im(y)^2 + 4761)^2)^(1/4)*cos(atan2(8450*re(y)*im(y) - 390*im(y), 4225*re(y)^2 - 390*re(y) - 4225*im(y)^2 + 4761)/2)/156 + 13*re(y)/12 + 23/52)