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(3x+2)/(2x-3)=(38,5x^2+85,25x+32,5)^2/(30x^2+65x+30)^2 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                              2
          /    2             \ 
          |77*x    341*x   65| 
          |----- + ----- + --| 
3*x + 2   \  2       4     2 / 
------- = ---------------------
2*x - 3                       2
           /    2            \ 
           \30*x  + 65*x + 30/ 
$$\frac{3 x + 2}{2 x - 3} = \frac{\left(\left(\frac{77 x^{2}}{2} + \frac{341 x}{4}\right) + \frac{65}{2}\right)^{2}}{\left(\left(30 x^{2} + 65 x\right) + 30\right)^{2}}$$
Gráfica
Suma y producto de raíces [src]
suma
-1.96229296870344 - 1.65478992792626 + 22.837573291502 + -0.502022135054297 - 0.0359311272418427*I + -0.502022135054297 + 0.0359311272418427*I
$$\left(\left(\left(-1.96229296870344 - 1.65478992792626\right) + 22.837573291502\right) + \left(-0.502022135054297 - 0.0359311272418427 i\right)\right) + \left(-0.502022135054297 + 0.0359311272418427 i\right)$$
=
18.2164461247637
$$18.2164461247637$$
producto
-1.96229296870344*-1.65478992792626*22.837573291502*(-0.502022135054297 - 0.0359311272418427*I)*(-0.502022135054297 + 0.0359311272418427*I)
$$22.837573291502 \left(- \left(-1.65478992792626\right) 1.96229296870344\right) \left(-0.502022135054297 - 0.0359311272418427 i\right) \left(-0.502022135054297 + 0.0359311272418427 i\right)$$
=
18.7854442344045
$$18.7854442344045$$
18.7854442344045
Respuesta rápida [src]
x1 = -1.96229296870344
$$x_{1} = -1.96229296870344$$
x2 = -1.65478992792626
$$x_{2} = -1.65478992792626$$
x3 = 22.837573291502
$$x_{3} = 22.837573291502$$
x4 = -0.502022135054297 - 0.0359311272418427*I
$$x_{4} = -0.502022135054297 - 0.0359311272418427 i$$
x5 = -0.502022135054297 + 0.0359311272418427*I
$$x_{5} = -0.502022135054297 + 0.0359311272418427 i$$
x5 = -0.502022135054297 + 0.0359311272418427*i
Respuesta numérica [src]
x1 = -1.96229296870344
x2 = -1.65478992792626
x3 = 22.837573291502
x4 = -0.502022135054297 - 0.0359311272418427*i
x5 = -0.502022135054297 + 0.0359311272418427*i
x5 = -0.502022135054297 + 0.0359311272418427*i