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-(4)/((x-1)^3)+2/(x-1)-4x/((x-1)^2)+2(x^2)+2x^2/((x-1)^3)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
                                            2      
     4         2       4*x         2     2*x       
- -------- + ----- - -------- + 2*x  + -------- = 0
         3   x - 1          2                 3    
  (x - 1)            (x - 1)           (x - 1)
2x2(x−1)3+(2x2+(−4x(x−1)2+(−4(x−1)3+2x−1)))=0\frac{2 x^{2}}{\left(x - 1\right)^{3}} + \left(2 x^{2} + \left(- \frac{4 x}{\left(x - 1\right)^{2}} + \left(- \frac{4}{\left(x - 1\right)^{3}} + \frac{2}{x - 1}\right)\right)\right) = 0
Simplificar
Gráfica
-10.0-7.5-5.0-2.50.02.55.07.510.012.515.017.5-50000000005000000000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
1.70160688718117 + -0.314315184559159 - 0.508448171483864*I + -0.314315184559159 + 0.508448171483864*I + 0.963511740968574 - 0.846381927025065*I + 0.963511740968574 + 0.846381927025065*I
((0.963511740968574−0.846381927025065i)+((1.70160688718117+(−0.314315184559159−0.508448171483864i))+(−0.314315184559159+0.508448171483864i)))+(0.963511740968574+0.846381927025065i)\left(\left(0.963511740968574 - 0.846381927025065 i\right) + \left(\left(1.70160688718117 + \left(-0.314315184559159 - 0.508448171483864 i\right)\right) + \left(-0.314315184559159 + 0.508448171483864 i\right)\right)\right) + \left(0.963511740968574 + 0.846381927025065 i\right) 
=
3.00000000000000
3.03.0 
producto
1.70160688718117*(-0.314315184559159 - 0.508448171483864*I)*(-0.314315184559159 + 0.508448171483864*I)*(0.963511740968574 - 0.846381927025065*I)*(0.963511740968574 + 0.846381927025065*I)
1.70160688718117(−0.314315184559159−0.508448171483864i)(−0.314315184559159+0.508448171483864i)(0.963511740968574−0.846381927025065i)(0.963511740968574+0.846381927025065i)1.70160688718117 \left(-0.314315184559159 - 0.508448171483864 i\right) \left(-0.314315184559159 + 0.508448171483864 i\right) \left(0.963511740968574 - 0.846381927025065 i\right) \left(0.963511740968574 + 0.846381927025065 i\right) 
=
1.0 + 9.13001475188443e-17*I
1.0+9.13001475188443⋅10−17i1.0 + 9.13001475188443 \cdot 10^{-17} i 
1.0 + 9.13001475188443e-17*i
Respuesta rápida [src] 
x1 = 1.70160688718117
x1=1.70160688718117x_{1} = 1.70160688718117 
x2 = -0.314315184559159 - 0.508448171483864*I
x2=−0.314315184559159−0.508448171483864ix_{2} = -0.314315184559159 - 0.508448171483864 i 
x3 = -0.314315184559159 + 0.508448171483864*I
x3=−0.314315184559159+0.508448171483864ix_{3} = -0.314315184559159 + 0.508448171483864 i 
x4 = 0.963511740968574 - 0.846381927025065*I
x4=0.963511740968574−0.846381927025065ix_{4} = 0.963511740968574 - 0.846381927025065 i 
x5 = 0.963511740968574 + 0.846381927025065*I
x5=0.963511740968574+0.846381927025065ix_{5} = 0.963511740968574 + 0.846381927025065 i 
x5 = 0.963511740968574 + 0.846381927025065*i
Respuesta numérica [src] 
x1 = 1.70160688718117
x2 = -0.314315184559159 - 0.508448171483864*i
x3 = -0.314315184559159 + 0.508448171483864*i
x4 = 0.963511740968574 - 0.846381927025065*i
x5 = 0.963511740968574 + 0.846381927025065*i
x5 = 0.963511740968574 + 0.846381927025065*i
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