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(1/(x*(x-1)*(x-4)*(x-3)*(x-2)))*(((5*(x-5))*(x-6))*(x-7)+(x-8)*((5*(x-5))*(x-6)+(x-7)*(-30+5*x+5*(x-5))))+5*(x-8)*(x-7)*(x-6)*(x-5)*(-(x*(x-1))*(x-2)*(x-3)-(x-4)*((x*(x-1))*(x-2)+(x-3)*(x*(x-1)+(-1+2*x)*(x-2))))/(x^2*(x-1)^2*(x-4)^2*(x-3)^2*(x-2)^2)=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
5*(x - 5)*(x - 6)*(x - 7) + (x - 8)*(5*(x - 5)*(x - 6) + (x - 7)*(-30 + 5*x + 5*(x - 5)))   5*(x - 8)*(x - 7)*(x - 6)*(x - 5)*(-x*(x - 1)*(x - 2)*(x - 3) - (x - 4)*(x*(x - 1)*(x - 2) + (x - 3)*(x*(x - 1) + (-1 + 2*x)*(x - 2))))    
----------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------- = 0
                            x*(x - 1)*(x - 4)*(x - 3)*(x - 2)                                                                                 2        2        2        2        2                                                    
                                                                                                                                             x *(x - 1) *(x - 4) *(x - 3) *(x - 2)                                                     
$$\frac{5 \left(x - 8\right) \left(x - 7\right) \left(x - 6\right) \left(x - 5\right) \left(- x \left(x - 1\right) \left(x - 2\right) \left(x - 3\right) - \left(x - 4\right) \left(x \left(x - 1\right) \left(x - 2\right) + \left(x - 3\right) \left(x \left(x - 1\right) + \left(x - 2\right) \left(2 x - 1\right)\right)\right)\right)}{x^{2} \left(x - 1\right)^{2} \left(x - 4\right)^{2} \left(x - 3\right)^{2} \left(x - 2\right)^{2}} + \frac{\left(x - 6\right) 5 \left(x - 5\right) \left(x - 7\right) + \left(x - 8\right) \left(\left(x - 7\right) \left(5 \left(x - 5\right) + \left(5 x - 30\right)\right) + \left(x - 6\right) 5 \left(x - 5\right)\right)}{x \left(x - 1\right) \left(x - 4\right) \left(x - 3\right) \left(x - 2\right)} = 0$$
Gráfica
Respuesta rápida [src]
x1 = 0.424215306812481
$$x_{1} = 0.424215306812481$$
x2 = 1.54960493421144
$$x_{2} = 1.54960493421144$$
x3 = 2.65571480936676
$$x_{3} = 2.65571480936676$$
x4 = 3.7674647071726
$$x_{4} = 3.7674647071726$$
x5 = 5.23638479548503
$$x_{5} = 5.23638479548503$$
x6 = 6.36436320285009
$$x_{6} = 6.36436320285009$$
x7 = 7.51068339504532
$$x_{7} = 7.51068339504532$$
x8 = 24.4915688490563
$$x_{8} = 24.4915688490563$$
x8 = 24.4915688490563
Suma y producto de raíces [src]
suma
0.424215306812481 + 1.54960493421144 + 2.65571480936676 + 3.7674647071726 + 5.23638479548503 + 6.36436320285009 + 7.51068339504532 + 24.4915688490563
$$24.4915688490563 + \left(7.51068339504532 + \left(6.36436320285009 + \left(5.23638479548503 + \left(3.7674647071726 + \left(\left(0.424215306812481 + 1.54960493421144\right) + 2.65571480936676\right)\right)\right)\right)\right)$$
=
52.0000000000000
$$52.0$$
producto
0.424215306812481*1.54960493421144*2.65571480936676*3.7674647071726*5.23638479548503*6.36436320285009*7.51068339504532*24.4915688490563
$$24.4915688490563 \cdot 7.51068339504532 \cdot 6.36436320285009 \cdot 5.23638479548503 \cdot 3.7674647071726 \cdot 2.65571480936676 \cdot 0.424215306812481 \cdot 1.54960493421144$$
=
40320.0000000000
$$40320.0$$
40320.0000000000
Respuesta numérica [src]
x1 = 0.424215306812481
x2 = 1.54960493421144
x3 = 2.65571480936676
x4 = 3.7674647071726
x5 = 5.23638479548503
x6 = 6.36436320285009
x7 = 7.51068339504532
x8 = 24.4915688490563
x8 = 24.4915688490563