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(-806*x-14*x^3+x^4-246*x^2+71825)*(-3*x^2-4*x+184)/(x^3+2*x^2-184*x+640)^2+(4*x^3-42*x^2-492*x-806)/(x^3+2*x^2-184*x+640)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
/             3    4        2        \ /     2            \      3       2                  
\-806*x - 14*x  + x  - 246*x  + 71825/*\- 3*x  - 4*x + 184/   4*x  - 42*x  - 492*x - 806    
----------------------------------------------------------- + -------------------------- = 0
                                          2                     3      2                    
                 / 3      2              \                     x  + 2*x  - 184*x + 640      
                 \x  + 2*x  - 184*x + 640/                                                  
$$\frac{\left(\left(- 246 x^{2} + \left(x^{4} + \left(- 14 x^{3} - 806 x\right)\right)\right) + 71825\right) \left(\left(- 3 x^{2} - 4 x\right) + 184\right)}{\left(\left(- 184 x + \left(x^{3} + 2 x^{2}\right)\right) + 640\right)^{2}} + \frac{\left(- 492 x + \left(4 x^{3} - 42 x^{2}\right)\right) - 806}{\left(- 184 x + \left(x^{3} + 2 x^{2}\right)\right) + 640} = 0$$
Gráfica
Respuesta rápida [src]
x1 = -30.5740913514384
$$x_{1} = -30.5740913514384$$
x2 = -7.7898925423588
$$x_{2} = -7.7898925423588$$
x3 = 7.64528172263402
$$x_{3} = 7.64528172263402$$
x4 = 18.0818389639705
$$x_{4} = 18.0818389639705$$
x5 = 4.31843160359635 - 19.159311362297*I
$$x_{5} = 4.31843160359635 - 19.159311362297 i$$
x6 = 4.31843160359635 + 19.159311362297*I
$$x_{6} = 4.31843160359635 + 19.159311362297 i$$
x6 = 4.31843160359635 + 19.159311362297*i
Suma y producto de raíces [src]
suma
-30.5740913514384 - 7.7898925423588 + 7.64528172263402 + 18.0818389639705 + 4.31843160359635 - 19.159311362297*I + 4.31843160359635 + 19.159311362297*I
$$\left(\left(\left(\left(-30.5740913514384 - 7.7898925423588\right) + 7.64528172263402\right) + 18.0818389639705\right) + \left(4.31843160359635 - 19.159311362297 i\right)\right) + \left(4.31843160359635 + 19.159311362297 i\right)$$
=
-4.00000000000000
$$-4.0$$
producto
-30.5740913514384*-7.7898925423588*7.64528172263402*18.0818389639705*(4.31843160359635 - 19.159311362297*I)*(4.31843160359635 + 19.159311362297*I)
$$18.0818389639705 \cdot 7.64528172263402 \left(- \left(-7.7898925423588\right) 30.5740913514384\right) \left(4.31843160359635 - 19.159311362297 i\right) \left(4.31843160359635 + 19.159311362297 i\right)$$
=
12699960.0000000
$$12699960.0$$
12699960.0000000
Respuesta numérica [src]
x1 = -30.5740913514384
x2 = -7.7898925423588
x3 = 7.64528172263402
x4 = 18.0818389639705
x5 = 4.31843160359635 - 19.159311362297*i
x6 = 4.31843160359635 + 19.159311362297*i
x6 = 4.31843160359635 + 19.159311362297*i