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- La ecuación:
- Ecuación x*(3*e^4*x^2*(log(x/b)^2+log(2)+2)+8*m^2*p^2)/((4*p^2))=0
- Ecuación 1,5x^2+117+28,5x=0
- Ecuación z=ln(9-y^2-x^2)+lnx^1/2
- Ecuación (-2)/(x-1)=-x
- Expresar {x} en función de y en la ecuación:
- -7*x+15*y=0
- -7*x+19*y=-12
- -17*x-14*y=18
- 4*x-2*y=-12
- Límite de la función:
- 21
- Suma de la serie:
-
21
-
Expresiones idénticas
- (cinco *m- tres *n)^ dos -(x- cuatro)^ dos = veintiuno
- (5 multiplicar por m menos 3 multiplicar por n) al cuadrado menos (x menos 4) al cuadrado es igual a 21
- (cinco multiplicar por m menos tres multiplicar por n) en el grado dos menos (x menos cuatro) en el grado dos es igual a veintiuno
- (5*m-3*n)2-(x-4)2=21
- 5*m-3*n2-x-42=21
- (5*m-3*n)²-(x-4)²=21
- (5*m-3*n) en el grado 2-(x-4) en el grado 2=21
- (5m-3n)^2-(x-4)^2=21
- (5m-3n)2-(x-4)2=21
- 5m-3n2-x-42=21
- 5m-3n^2-x-4^2=21
-
Expresiones semejantes
- (5*m-3*n)^2+(x-4)^2=21
- (5*m+3*n)^2-(x-4)^2=21
- (5*m-3*n)^2-(x+4)^2=21
- 2*1-y=3
(5*m-3*n)^2-(x-4)^2=21 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 2 (5*m - 3*n) - (x - 4) = 21
$$\left(5 m - 3 n\right)^{2} - \left(x - 4\right)^{2} = 21$$
Solución detallada
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$\left(5 m - 3 n\right)^{2} - \left(x - 4\right)^{2} = 21$$
en
$$\left(\left(5 m - 3 n\right)^{2} - \left(x - 4\right)^{2}\right) - 21 = 0$$
Abramos la expresión en la ecuación
$$\left(\left(5 m - 3 n\right)^{2} - \left(x - 4\right)^{2}\right) - 21 = 0$$
Obtenemos la ecuación cuadrática
$$25 m^{2} - 30 m n + 9 n^{2} - x^{2} + 8 x - 37 = 0$$
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
$$a = -1$$
$$b = 8$$
$$c = 25 m^{2} - 30 m n + 9 n^{2} - 37$$
, entonces
La ecuación tiene dos raíces.
o
$$x_{1} = 4 - \frac{\sqrt{100 m^{2} - 120 m n + 36 n^{2} - 84}}{2}$$
$$x_{2} = \frac{\sqrt{100 m^{2} - 120 m n + 36 n^{2} - 84}}{2} + 4$$
miembro izquierdo de la ecuación con el signo negativo.
La ecuación se convierte de
$$\left(5 m - 3 n\right)^{2} - \left(x - 4\right)^{2} = 21$$
en
$$\left(\left(5 m - 3 n\right)^{2} - \left(x - 4\right)^{2}\right) - 21 = 0$$
Abramos la expresión en la ecuación
$$\left(\left(5 m - 3 n\right)^{2} - \left(x - 4\right)^{2}\right) - 21 = 0$$
Obtenemos la ecuación cuadrática
$$25 m^{2} - 30 m n + 9 n^{2} - x^{2} + 8 x - 37 = 0$$
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
$$a = -1$$
$$b = 8$$
$$c = 25 m^{2} - 30 m n + 9 n^{2} - 37$$
, entonces
D = b^2 - 4 * a * c =
(8)^2 - 4 * (-1) * (-37 + 9*n^2 + 25*m^2 - 30*m*n) = -84 + 36*n^2 + 100*m^2 - 120*m*n
La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
o
$$x_{1} = 4 - \frac{\sqrt{100 m^{2} - 120 m n + 36 n^{2} - 84}}{2}$$
$$x_{2} = \frac{\sqrt{100 m^{2} - 120 m n + 36 n^{2} - 84}}{2} + 4$$
Gráfica
Suma y producto de raíces
[src]
suma
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/ 2 / / 2 2 2 2 \\ / 2 / / 2 2 2 2 \\ / 2 / / 2 2 2 2 \\ / 2 / / 2 2 2 2 \\
4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/| 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/| 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/| 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/|
4 - \/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *cos|--------------------------------------------------------------------------------------------------------------------| - I*\/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *sin|--------------------------------------------------------------------------------------------------------------------| + 4 + \/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *cos|--------------------------------------------------------------------------------------------------------------------| + I*\/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *sin|--------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 / \ 2 / \ 2 /
$$\left(- i \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} - \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + 4\right) + \left(i \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + 4\right)$$
=
8
$$8$$
producto
/ ______________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________ \ / ______________________________________________________________________________________________________________________ ______________________________________________________________________________________________________________________ \ | / 2 / / 2 2 2 2 \\ / 2 / / 2 2 2 2 \\| | / 2 / / 2 2 2 2 \\ / 2 / / 2 2 2 2 \\| | 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/| 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/|| | 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/| 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/|| |4 - \/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *cos|--------------------------------------------------------------------------------------------------------------------| - I*\/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *sin|--------------------------------------------------------------------------------------------------------------------||*|4 + \/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *cos|--------------------------------------------------------------------------------------------------------------------| + I*\/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *sin|--------------------------------------------------------------------------------------------------------------------|| \ \ 2 / \ 2 // \ \ 2 / \ 2 //
$$\left(- i \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} - \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + 4\right) \left(i \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + 4\right)$$
=
2 2 2 2 37 - 25*re (m) - 9*re (n) + 9*im (n) + 25*im (m) + 30*re(m*n) + 30*I*im(m*n) - 50*I*im(m)*re(m) - 18*I*im(n)*re(n)
$$- 25 \left(\operatorname{re}{\left(m\right)}\right)^{2} - 50 i \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} - 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 18 i \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} + 30 \operatorname{re}{\left(m n\right)} + 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} + 30 i \operatorname{im}{\left(m n\right)} + 37$$
37 - 25*re(m)^2 - 9*re(n)^2 + 9*im(n)^2 + 25*im(m)^2 + 30*re(m*n) + 30*i*im(m*n) - 50*i*im(m)*re(m) - 18*i*im(n)*re(n)
Respuesta rápida
[src]
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/ 2 / / 2 2 2 2 \\ / 2 / / 2 2 2 2 \\
4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/| 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/|
x1 = 4 - \/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *cos|--------------------------------------------------------------------------------------------------------------------| - I*\/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *sin|--------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 /
$$x_{1} = - i \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} - \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + 4$$
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/ 2 / / 2 2 2 2 \\ / 2 / / 2 2 2 2 \\
4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/| 4 / 2 / 2 2 2 2 \ |atan2\-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m), -21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/|
x2 = 4 + \/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *cos|--------------------------------------------------------------------------------------------------------------------| + I*\/ (-30*im(m*n) + 18*im(n)*re(n) + 50*im(m)*re(m)) + \-21 - 30*re(m*n) - 25*im (m) - 9*im (n) + 9*re (n) + 25*re (m)/ *sin|--------------------------------------------------------------------------------------------------------------------|
\ 2 / \ 2 /
$$x_{2} = i \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + \sqrt[4]{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)}\right)^{2} + \left(25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(50 \operatorname{re}{\left(m\right)} \operatorname{im}{\left(m\right)} + 18 \operatorname{re}{\left(n\right)} \operatorname{im}{\left(n\right)} - 30 \operatorname{im}{\left(m n\right)},25 \left(\operatorname{re}{\left(m\right)}\right)^{2} + 9 \left(\operatorname{re}{\left(n\right)}\right)^{2} - 30 \operatorname{re}{\left(m n\right)} - 25 \left(\operatorname{im}{\left(m\right)}\right)^{2} - 9 \left(\operatorname{im}{\left(n\right)}\right)^{2} - 21 \right)}}{2} \right)} + 4$$
x2 = i*((50*re(m)*im(m) + 18*re(n)*im(n) - 30*im(m*n))^2 + (25*re(m)^2 + 9*re(n)^2 - 30*re(m*n) - 25*im(m)^2 - 9*im(n)^2 - 21)^2)^(1/4)*sin(atan2(50*re(m)*im(m) + 18*re(n)*im(n) - 30*im(m*n, 25*re(m)^2 + 9*re(n)^2 - 30*re(m*n) - 25*im(m)^2 - 9*im(n)^2 - 21)/2) + ((50*re(m)*im(m) + 18*re(n)*im(n) - 30*im(m*n))^2 + (25*re(m)^2 + 9*re(n)^2 - 30*re(m*n) - 25*im(m)^2 - 9*im(n)^2 - 21)^2)^(1/4)*cos(atan2(50*re(m)*im(m) + 18*re(n)*im(n) - 30*im(m*n), 25*re(m)^2 + 9*re(n)^2 - 30*re(m*n) - 25*im(m)^2 - 9*im(n)^2 - 21)/2) + 4)