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(-(20*x^3)-(1300*x^2)-(1000*x)-150)/((0,85x^5+0,2x^4+40x^3+20x^2+4x+10))=x la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
         3         2                     
   - 20*x  - 1300*x  - 1000*x - 150      
------------------------------------- = x
    5    4                               
17*x    x        3       2               
----- + -- + 40*x  + 20*x  + 4*x + 10    
  20    5                                
$$\frac{\left(- 1000 x + \left(- 20 x^{3} - 1300 x^{2}\right)\right) - 150}{\left(4 x + \left(20 x^{2} + \left(40 x^{3} + \left(\frac{17 x^{5}}{20} + \frac{x^{4}}{5}\right)\right)\right)\right) + 10} = x$$
Gráfica
Respuesta rápida [src]
x1 = -0.58079443085244
$$x_{1} = -0.58079443085244$$
x2 = -0.199804926548977
$$x_{2} = -0.199804926548977$$
x3 = -2.64321319341006 - 5.41127656320906*I
$$x_{3} = -2.64321319341006 - 5.41127656320906 i$$
x4 = -2.64321319341006 + 5.41127656320906*I
$$x_{4} = -2.64321319341006 + 5.41127656320906 i$$
x5 = 2.91586581328724 - 5.78158277132498*I
$$x_{5} = 2.91586581328724 - 5.78158277132498 i$$
x6 = 2.91586581328724 + 5.78158277132498*I
$$x_{6} = 2.91586581328724 + 5.78158277132498 i$$
x6 = 2.91586581328724 + 5.78158277132498*i
Suma y producto de raíces [src]
suma
-0.58079443085244 - 0.199804926548977 + -2.64321319341006 - 5.41127656320906*I + -2.64321319341006 + 5.41127656320906*I + 2.91586581328724 - 5.78158277132498*I + 2.91586581328724 + 5.78158277132498*I
$$\left(\left(2.91586581328724 - 5.78158277132498 i\right) + \left(\left(\left(-0.58079443085244 - 0.199804926548977\right) + \left(-2.64321319341006 - 5.41127656320906 i\right)\right) + \left(-2.64321319341006 + 5.41127656320906 i\right)\right)\right) + \left(2.91586581328724 + 5.78158277132498 i\right)$$
=
-0.235294117647059
$$-0.235294117647059$$
producto
-0.58079443085244*-0.199804926548977*(-2.64321319341006 - 5.41127656320906*I)*(-2.64321319341006 + 5.41127656320906*I)*(2.91586581328724 - 5.78158277132498*I)*(2.91586581328724 + 5.78158277132498*I)
$$- \left(-0.199804926548977\right) 0.58079443085244 \left(-2.64321319341006 - 5.41127656320906 i\right) \left(-2.64321319341006 + 5.41127656320906 i\right) \left(2.91586581328724 - 5.78158277132498 i\right) \left(2.91586581328724 + 5.78158277132498 i\right)$$
=
176.470588235294
$$176.470588235294$$
176.470588235294
Respuesta numérica [src]
x1 = -0.58079443085244
x2 = -0.199804926548977
x3 = -2.64321319341006 - 5.41127656320906*i
x4 = -2.64321319341006 + 5.41127656320906*i
x5 = 2.91586581328724 - 5.78158277132498*i
x6 = 2.91586581328724 + 5.78158277132498*i
x6 = 2.91586581328724 + 5.78158277132498*i