Sr Examen

Otras calculadoras

(2x-3)(3x+1)+2(x-5)(x+5)=2(1-2y)^2+6x la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
                                                     2      
(2*x - 3)*(3*x + 1) + 2*(x - 5)*(x + 5) = 2*(1 - 2*y)  + 6*x
2(x−5)(x+5)+(2x−3)(3x+1)=6x+2(1−2y)22 \left(x - 5\right) \left(x + 5\right) + \left(2 x - 3\right) \left(3 x + 1\right) = 6 x + 2 \left(1 - 2 y\right)^{2}
Simplificar
Solución detallada
Transportemos el miembro derecho de la ecuación al
miembro izquierdo de la ecuación con el signo negativo.

La ecuación se convierte de
2(x−5)(x+5)+(2x−3)(3x+1)=6x+2(1−2y)22 \left(x - 5\right) \left(x + 5\right) + \left(2 x - 3\right) \left(3 x + 1\right) = 6 x + 2 \left(1 - 2 y\right)^{2}
en
(−6x−2(1−2y)2)+(2(x−5)(x+5)+(2x−3)(3x+1))=0\left(- 6 x - 2 \left(1 - 2 y\right)^{2}\right) + \left(2 \left(x - 5\right) \left(x + 5\right) + \left(2 x - 3\right) \left(3 x + 1\right)\right) = 0
Abramos la expresión en la ecuación
(−6x−2(1−2y)2)+(2(x−5)(x+5)+(2x−3)(3x+1))=0\left(- 6 x - 2 \left(1 - 2 y\right)^{2}\right) + \left(2 \left(x - 5\right) \left(x + 5\right) + \left(2 x - 3\right) \left(3 x + 1\right)\right) = 0
Obtenemos la ecuación cuadrática
8x2−13x−8y2+8y−55=08 x^{2} - 13 x - 8 y^{2} + 8 y - 55 = 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:
x1=D−b2ax_{1} = \frac{\sqrt{D} - b}{2 a}
x2=−D−b2ax_{2} = \frac{- \sqrt{D} - b}{2 a}
donde D = b^2 - 4*a*c es el discriminante.
Como
a=8a = 8
b=−13b = -13
c=−8y2+8y−55c = - 8 y^{2} + 8 y - 55
, entonces
D = b^2 - 4 * a * c = 

(-13)^2 - 4 * (8) * (-55 - 8*y^2 + 8*y) = 1929 - 256*y + 256*y^2

La ecuación tiene dos raíces.
x1 = (-b + sqrt(D)) / (2*a)

x2 = (-b - sqrt(D)) / (2*a)

o
x1=256y2−256y+192916+1316x_{1} = \frac{\sqrt{256 y^{2} - 256 y + 1929}}{16} + \frac{13}{16}
x2=1316−256y2−256y+192916x_{2} = \frac{13}{16} - \frac{\sqrt{256 y^{2} - 256 y + 1929}}{16}
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\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|        4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|
     \/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *cos|-------------------------------------------------------------------------------|   I*\/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *sin|-------------------------------------------------------------------------------|        \/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *cos|-------------------------------------------------------------------------------|   I*\/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *sin|-------------------------------------------------------------------------------|
13                                                                                            \                                       2                                       /                                                                                              \                                       2                                       /   13                                                                                            \                                       2                                       /                                                                                              \                                       2                                       /
-- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
16                                                                                       16                                                                                                                                                                            16                                                                                        16                                                                                       16                                                                                                                                                                            16
(−i(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24sin⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16−(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24cos⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+1316)+(i(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24sin⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24cos⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+1316)\left(- \frac{i \sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} - \frac{\sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{13}{16}\right) + \left(\frac{i \sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{\sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{13}{16}\right) 
=
13/8
138\frac{13}{8} 
producto
/         _________________________________________________________________________________                                                                                              _________________________________________________________________________________                                                                                     \ /         _________________________________________________________________________________                                                                                              _________________________________________________________________________________                                                                                     \
|        /                                                                               2     /     /                                           2                        2   \\        /                                                                               2     /     /                                           2                        2   \\| |        /                                                                               2     /     /                                           2                        2   \\        /                                                                               2     /     /                                           2                        2   \\|
|     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|| |     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/||
|     \/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *cos|-------------------------------------------------------------------------------|   I*\/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *sin|-------------------------------------------------------------------------------|| |     \/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *cos|-------------------------------------------------------------------------------|   I*\/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *sin|-------------------------------------------------------------------------------||
|13                                                                                            \                                       2                                       /                                                                                              \                                       2                                       /| |13                                                                                            \                                       2                                       /                                                                                              \                                       2                                       /|
|-- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\16                                                                                       16                                                                                                                                                                            16                                                                                     / \16                                                                                       16                                                                                                                                                                            16                                                                                     /
(−i(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24sin⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16−(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24cos⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+1316)(i(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24sin⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24cos⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+1316)\left(- \frac{i \sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} - \frac{\sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{13}{16}\right) \left(\frac{i \sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{\sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{13}{16}\right) 
=
  55     2        2                                       
- -- + im (y) - re (y) + I*im(y) - 2*I*im(y)*re(y) + re(y)
  8
−(re⁡(y))2−2ire⁡(y)im⁡(y)+re⁡(y)+(im⁡(y))2+iim⁡(y)−558- \left(\operatorname{re}{\left(y\right)}\right)^{2} - 2 i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} + \operatorname{re}{\left(y\right)} + \left(\operatorname{im}{\left(y\right)}\right)^{2} + i \operatorname{im}{\left(y\right)} - \frac{55}{8} 
-55/8 + im(y)^2 - re(y)^2 + i*im(y) - 2*i*im(y)*re(y) + re(y)
Respuesta rápida [src] 
              _________________________________________________________________________________                                                                                              _________________________________________________________________________________                                                                                     
             /                                                                               2     /     /                                           2                        2   \\        /                                                                               2     /     /                                           2                        2   \\
          4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|
          \/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *cos|-------------------------------------------------------------------------------|   I*\/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *sin|-------------------------------------------------------------------------------|
     13                                                                                            \                                       2                                       /                                                                                              \                                       2                                       /
x1 = -- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     16                                                                                       16                                                                                                                                                                            16
x1=−i(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24sin⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16−(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24cos⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+1316x_{1} = - \frac{i \sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} - \frac{\sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{13}{16} 
              _________________________________________________________________________________                                                                                              _________________________________________________________________________________                                                                                     
             /                                                                               2     /     /                                           2                        2   \\        /                                                                               2     /     /                                           2                        2   \\
          4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|     4 /                                2   /             2                        2   \      |atan2\-256*im(y) + 512*im(y)*re(y), 1929 - 256*im (y) - 256*re(y) + 256*re (y)/|
          \/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *cos|-------------------------------------------------------------------------------|   I*\/   (-256*im(y) + 512*im(y)*re(y))  + \1929 - 256*im (y) - 256*re(y) + 256*re (y)/  *sin|-------------------------------------------------------------------------------|
     13                                                                                            \                                       2                                       /                                                                                              \                                       2                                       /
x2 = -- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     16                                                                                       16                                                                                                                                                                            16
x2=i(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24sin⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+(512re⁡(y)im⁡(y)−256im⁡(y))2+(256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)24cos⁡(atan2⁡(512re⁡(y)im⁡(y)−256im⁡(y),256(re⁡(y))2−256re⁡(y)−256(im⁡(y))2+1929)2)16+1316x_{2} = \frac{i \sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{\sqrt[4]{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)}\right)^{2} + \left(256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(512 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 256 \operatorname{im}{\left(y\right)},256 \left(\operatorname{re}{\left(y\right)}\right)^{2} - 256 \operatorname{re}{\left(y\right)} - 256 \left(\operatorname{im}{\left(y\right)}\right)^{2} + 1929 \right)}}{2} \right)}}{16} + \frac{13}{16} 
x2 = i*((512*re(y)*im(y) - 256*im(y))^2 + (256*re(y)^2 - 256*re(y) - 256*im(y)^2 + 1929)^2)^(1/4)*sin(atan2(512*re(y)*im(y) - 256*im(y, 256*re(y)^2 - 256*re(y) - 256*im(y)^2 + 1929)/2)/16 + ((512*re(y)*im(y) - 256*im(y))^2 + (256*re(y)^2 - 256*re(y) - 256*im(y)^2 + 1929)^2)^(1/4)*cos(atan2(512*re(y)*im(y) - 256*im(y), 256*re(y)^2 - 256*re(y) - 256*im(y)^2 + 1929)/2)/16 + 13/16)
    © Sr Examen – Калькулятор