Sr Examen

Lang:

Otras calculadoras

¿Cómo usar?
La ecuación:
Ecuación x+4=0
Ecuación x*(x^2+8*x+16)=5*(x+4)
Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
Ecuación 9-4x=3x-40
Expresar {x} en función de y en la ecuación:
-18*x-2*y=9
-9*x+1*y=3
9*x+10*y=5
1*x+10*y=-18
Expresiones idénticas
dos *x^ dos - dieciséis *x-x*y+ cinco *y=- treinta y cuatro
2 multiplicar por x al cuadrado menos 16 multiplicar por x menos x multiplicar por y más 5 multiplicar por y es igual a menos 34
dos multiplicar por x en el grado dos menos dieciséis multiplicar por x menos x multiplicar por y más cinco multiplicar por y es igual a menos treinta y cuatro
2*x2-16*x-x*y+5*y=-34
2*x²-16*x-x*y+5*y=-34
2*x en el grado 2-16*x-x*y+5*y=-34
2x^2-16x-xy+5y=-34
2x2-16x-xy+5y=-34
Expresiones semejantes
4*x-3*(4*x+5)=-11
2*x^2-16*x-x*y+5*y=+34
2*x^2-16*x+x*y+5*y=-34
4x-3(4x+5)=-11
2*x^2+16*x-x*y+5*y=-34
2(3x+5)-3(4x-1)=11,8
2*x^2-16*x-x*y-5*y=-34
(x-3)^4-7(x-3)^2-18=0

2x^2-16x-xy+5y=-34 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

   2                         
2*x  - 16*x - x*y + 5*y = -34

5 y + \left(- x y + \left(2 x^{2} - 16 x\right)\right) = -34

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

5 y + \left(- x y + \left(2 x^{2} - 16 x\right)\right) = -34

\left(5 y + \left(- x y + \left(2 x^{2} - 16 x\right)\right)\right) + 34 = 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 = 2

b = - y - 16

c = 5 y + 34

, entonces

D = b^2 - 4 * a * c =

(-16 - y)^2 - 4 * (2) * (34 + 5*y) = -272 + (-16 - y)^2 - 40*y

La ecuación tiene dos raíces.

x1 = (-b + sqrt(D)) / (2*a)

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

x_{1} = \frac{y}{4} + \frac{\sqrt{- 40 y + \left(- y - 16\right)^{2} - 272}}{4} + 4

x_{2} = \frac{y}{4} - \frac{\sqrt{- 40 y + \left(- y - 16\right)^{2} - 272}}{4} + 4

Teorema de Cardano-Vieta

reescribamos la ecuación

5 y + \left(- x y + \left(2 x^{2} - 16 x\right)\right) = -34

a x^{2} + b x + c = 0

como ecuación cuadrática reducida

x^{2} + \frac{b x}{a} + \frac{c}{a} = 0

x^{2} - \frac{x y}{2} - 8 x + \frac{5 y}{2} + 17 = 0

p x + q + x^{2} = 0

donde

p = \frac{b}{a}

p = - \frac{y}{2} - 8

q = \frac{c}{a}

q = \frac{5 y}{2} + 17

Fórmulas de Cardano-Vieta

x_{1} + x_{2} = - p

x_{1} x_{2} = q

x_{1} + x_{2} = \frac{y}{2} + 8

x_{1} x_{2} = \frac{5 y}{2} + 17

Gráfica

Respuesta rápida [src]

                   /            __________________________________________________________________                                                                      \       __________________________________________________________________                                                                      
                   |           /                                                                2     /     /                                  2        2             \\|      /                                                                2     /     /                                  2        2             \\
                   |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||   4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/|
                   |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||   \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *cos|----------------------------------------------------------------|
         re(y)     |im(y)                                                                             \                               2                                /|                                                                             \                               2                                /
x1 = 4 + ----- + I*|----- - --------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------
           4       \  4                                                                          4                                                                      /                                                                        4

x_{1} = i \left(- \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) - \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{re}{\left(y\right)}}{4} + 4

                   /            __________________________________________________________________                                                                      \       __________________________________________________________________                                                                      
                   |           /                                                                2     /     /                                  2        2             \\|      /                                                                2     /     /                                  2        2             \\
                   |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||   4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/|
                   |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||   \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *cos|----------------------------------------------------------------|
         re(y)     |im(y)                                                                             \                               2                                /|                                                                             \                               2                                /
x2 = 4 + ----- + I*|----- + --------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------
           4       \  4                                                                          4                                                                      /                                                                        4

x_{2} = i \left(\frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) + \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{re}{\left(y\right)}}{4} + 4

x2 = i*(((2*re(y)*im(y) - 8*im(y))^2 + (re(y)^2 - 8*re(y) - im(y)^2 - 16)^2)^(1/4)*sin(atan2(2*re(y)*im(y) - 8*im(y, re(y)^2 - 8*re(y) - im(y)^2 - 16)/2)/4 + im(y)/4) + ((2*re(y)*im(y) - 8*im(y))^2 + (re(y)^2 - 8*re(y) - im(y)^2 - 16)^2)^(1/4)*cos(atan2(2*re(y)*im(y) - 8*im(y), re(y)^2 - 8*re(y) - im(y)^2 - 16)/2)/4 + re(y)/4 + 4)

Suma y producto de raíces [src]

suma

              /            __________________________________________________________________                                                                      \       __________________________________________________________________                                                                                       /            __________________________________________________________________                                                                      \       __________________________________________________________________                                                                      
              |           /                                                                2     /     /                                  2        2             \\|      /                                                                2     /     /                                  2        2             \\                 |           /                                                                2     /     /                                  2        2             \\|      /                                                                2     /     /                                  2        2             \\
              |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||   4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/|                 |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||   4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/|
              |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||   \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *cos|----------------------------------------------------------------|                 |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||   \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *cos|----------------------------------------------------------------|
    re(y)     |im(y)                                                                             \                               2                                /|                                                                             \                               2                                /       re(y)     |im(y)                                                                             \                               2                                /|                                                                             \                               2                                /
4 + ----- + I*|----- - --------------------------------------------------------------------------------------------------------------------------------------------| - -------------------------------------------------------------------------------------------------------------------------------------------- + 4 + ----- + I*|----- + --------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------
      4       \  4                                                                          4                                                                      /                                                                        4                                                                               4       \  4                                                                          4                                                                      /                                                                        4

\left(i \left(- \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) - \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{re}{\left(y\right)}}{4} + 4\right) + \left(i \left(\frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) + \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{re}{\left(y\right)}}{4} + 4\right)

              /            __________________________________________________________________                                                                      \     /            __________________________________________________________________                                                                      \
              |           /                                                                2     /     /                                  2        2             \\|     |           /                                                                2     /     /                                  2        2             \\|
              |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||     |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||
              |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||     |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||
    re(y)     |im(y)                                                                             \                               2                                /|     |im(y)                                                                             \                               2                                /|
8 + ----- + I*|----- - --------------------------------------------------------------------------------------------------------------------------------------------| + I*|----- + --------------------------------------------------------------------------------------------------------------------------------------------|
      2       \  4                                                                          4                                                                      /     \  4                                                                          4                                                                      /

i \left(- \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) + i \left(\frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) + \frac{\operatorname{re}{\left(y\right)}}{2} + 8

producto

/              /            __________________________________________________________________                                                                      \       __________________________________________________________________                                                                      \ /              /            __________________________________________________________________                                                                      \       __________________________________________________________________                                                                      \
|              |           /                                                                2     /     /                                  2        2             \\|      /                                                                2     /     /                                  2        2             \\| |              |           /                                                                2     /     /                                  2        2             \\|      /                                                                2     /     /                                  2        2             \\|
|              |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||   4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/|| |              |        4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||   4 /                            2   /        2        2             \      |atan2\-8*im(y) + 2*im(y)*re(y), -16 + re (y) - im (y) - 8*re(y)/||
|              |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||   \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *cos|----------------------------------------------------------------|| |              |        \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *sin|----------------------------------------------------------------||   \/   (-8*im(y) + 2*im(y)*re(y))  + \-16 + re (y) - im (y) - 8*re(y)/  *cos|----------------------------------------------------------------||
|    re(y)     |im(y)                                                                             \                               2                                /|                                                                             \                               2                                /| |    re(y)     |im(y)                                                                             \                               2                                /|                                                                             \                               2                                /|
|4 + ----- + I*|----- - --------------------------------------------------------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------|*|4 + ----- + I*|----- + --------------------------------------------------------------------------------------------------------------------------------------------| + --------------------------------------------------------------------------------------------------------------------------------------------|
\      4       \  4                                                                          4                                                                      /                                                                        4                                                                      / \      4       \  4                                                                          4                                                                      /                                                                        4                                                                      /

\left(i \left(- \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) - \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{re}{\left(y\right)}}{4} + 4\right) \left(i \left(\frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \sin{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{im}{\left(y\right)}}{4}\right) + \frac{\sqrt[4]{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)}\right)^{2} + \left(\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16\right)^{2}} \cos{\left(\frac{\operatorname{atan_{2}}{\left(2 \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)} - 8 \operatorname{im}{\left(y\right)},\left(\operatorname{re}{\left(y\right)}\right)^{2} - 8 \operatorname{re}{\left(y\right)} - \left(\operatorname{im}{\left(y\right)}\right)^{2} - 16 \right)}}{2} \right)}}{4} + \frac{\operatorname{re}{\left(y\right)}}{4} + 4\right)

     5*re(y)   5*I*im(y)
17 + ------- + ---------
        2          2

\frac{5 \operatorname{re}{\left(y\right)}}{2} + \frac{5 i \operatorname{im}{\left(y\right)}}{2} + 17

17 + 5*re(y)/2 + 5*i*im(y)/2

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

2*x^2-16*x-x*y+5*y=-34 la ecuación

Solución numérica:

Solución

2x^2-16x-xy+5y=-34 la ecuación