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x2*(2*x+y)-3*y2*(x+5)=4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
x2*(2*x + y) - 3*y2*(x + 5) = 4
x2(2x+y)−3y2(x+5)=4x_{2} \left(2 x + y\right) - 3 y_{2} \left(x + 5\right) = 4
Simplificar
Gráfica
Respuesta rápida [src] 
       /  (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2))    (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\   (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2))     (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2)) 
x1 = I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - -------------------------------------------------
       |                      2                         2                         2                         2|                         2                         2                         2                         2
       \(-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2)) /   (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))
x1=i((2re⁡(x2)−3re⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2+(−2im⁡(x2)+3im⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2)+(2re⁡(x2)−3re⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2−(−2im⁡(x2)+3im⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2x_{1} = i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} 
x1 = i*((2*re(x2) - 3*re(y2))*(15*im(y2) - im(x2*y))/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2) + (-2*im(x2) + 3*im(y2))*(15*re(y2) - re(x2*y) + 4)/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2)) + (2*re(x2) - 3*re(y2))*(15*re(y2) - re(x2*y) + 4)/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2) - (-2*im(x2) + 3*im(y2))*(15*im(y2) - im(x2*y))/((2*re(x2) - 3*re(y2))^2 + (2*im(x2) - 3*im(y2))^2)
Suma y producto de raíces [src] 
suma
  /  (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2))    (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\   (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2))     (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2)) 
I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - -------------------------------------------------
  |                      2                         2                         2                         2|                         2                         2                         2                         2
  \(-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2)) /   (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))
i((2re⁡(x2)−3re⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2+(−2im⁡(x2)+3im⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2)+(2re⁡(x2)−3re⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2−(−2im⁡(x2)+3im⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} 
=
  /  (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2))    (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\   (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2))     (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2)) 
I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - -------------------------------------------------
  |                      2                         2                         2                         2|                         2                         2                         2                         2
  \(-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2)) /   (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))
i((2re⁡(x2)−3re⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2+(−2im⁡(x2)+3im⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2)+(2re⁡(x2)−3re⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2−(−2im⁡(x2)+3im⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} 
producto
  /  (-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2))    (-2*im(x2) + 3*im(y2))*(4 - re(x2*y) + 15*re(y2))\   (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2))     (-im(x2*y) + 15*im(y2))*(-2*im(x2) + 3*im(y2)) 
I*|------------------------------------------------- + -------------------------------------------------| + ------------------------------------------------- - -------------------------------------------------
  |                      2                         2                         2                         2|                         2                         2                         2                         2
  \(-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2)) /   (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))    (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))
i((2re⁡(x2)−3re⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2+(−2im⁡(x2)+3im⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2)+(2re⁡(x2)−3re⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2−(−2im⁡(x2)+3im⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2i \left(\frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} + \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}}\right) + \frac{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} - \frac{\left(- 2 \operatorname{im}{\left(x_{2}\right)} + 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} 
=
I*((-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) - (-3*im(y2) + 2*im(x2))*(4 - re(x2*y) + 15*re(y2))) + (-im(x2*y) + 15*im(y2))*(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2))
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                                                   2                         2                                                                             
                                                                             (-3*im(y2) + 2*im(x2))  + (-3*re(y2) + 2*re(x2))
i((2re⁡(x2)−3re⁡(y2))(15im⁡(y2)−im⁡(x2y))−(2im⁡(x2)−3im⁡(y2))(15re⁡(y2)−re⁡(x2y)+4))+(2re⁡(x2)−3re⁡(y2))(15re⁡(y2)−re⁡(x2y)+4)+(2im⁡(x2)−3im⁡(y2))(15im⁡(y2)−im⁡(x2y))(2re⁡(x2)−3re⁡(y2))2+(2im⁡(x2)−3im⁡(y2))2\frac{i \left(\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right) - \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right)\right) + \left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right) \left(15 \operatorname{re}{\left(y_{2}\right)} - \operatorname{re}{\left(x_{2} y\right)} + 4\right) + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right) \left(15 \operatorname{im}{\left(y_{2}\right)} - \operatorname{im}{\left(x_{2} y\right)}\right)}{\left(2 \operatorname{re}{\left(x_{2}\right)} - 3 \operatorname{re}{\left(y_{2}\right)}\right)^{2} + \left(2 \operatorname{im}{\left(x_{2}\right)} - 3 \operatorname{im}{\left(y_{2}\right)}\right)^{2}} 
(i*((-im(x2*y) + 15*im(y2))*(-3*re(y2) + 2*re(x2)) - (-3*im(y2) + 2*im(x2))*(4 - re(x2*y) + 15*re(y2))) + (-im(x2*y) + 15*im(y2))*(-3*im(y2) + 2*im(x2)) + (-3*re(y2) + 2*re(x2))*(4 - re(x2*y) + 15*re(y2)))/((-3*im(y2) + 2*im(x2))^2 + (-3*re(y2) + 2*re(x2))^2)
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