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(1-x)/x^3-(3*x^2)-4*x+12-2/(x^2-x-6)=1/(x-2) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
1 - x      2                  2          1  
----- - 3*x  - 4*x + 12 - ---------- = -----
   3                       2           x - 2
  x                       x  - x - 6        
$$\left(\left(- 4 x + \left(- 3 x^{2} + \frac{1 - x}{x^{3}}\right)\right) + 12\right) - \frac{2}{\left(x^{2} - x\right) - 6} = \frac{1}{x - 2}$$
Gráfica
Suma y producto de raíces [src]
suma
-2.73961301011118 - 2.05304863624867 - 0.47196705212078 + 2.98555533219944 + 0.235530346182999 - 0.334130929025361*I + 0.235530346182999 + 0.334130929025361*I + 1.73733967029092 - 0.0410140373767657*I + 1.73733967029092 + 0.0410140373767657*I
$$\left(\left(1.73733967029092 - 0.0410140373767657 i\right) + \left(\left(\left(\left(\left(-2.73961301011118 - 2.05304863624867\right) - 0.47196705212078\right) + 2.98555533219944\right) + \left(0.235530346182999 - 0.334130929025361 i\right)\right) + \left(0.235530346182999 + 0.334130929025361 i\right)\right)\right) + \left(1.73733967029092 + 0.0410140373767657 i\right)$$
=
1.66666666666667
$$1.66666666666667$$
producto
-2.73961301011118*-2.05304863624867*-0.47196705212078*2.98555533219944*(0.235530346182999 - 0.334130929025361*I)*(0.235530346182999 + 0.334130929025361*I)*(1.73733967029092 - 0.0410140373767657*I)*(1.73733967029092 + 0.0410140373767657*I)
$$2.98555533219944 \left(-0.47196705212078\right) \left(- \left(-2.05304863624867\right) 2.73961301011118\right) \left(0.235530346182999 - 0.334130929025361 i\right) \left(0.235530346182999 + 0.334130929025361 i\right) \left(1.73733967029092 - 0.0410140373767657 i\right) \left(1.73733967029092 + 0.0410140373767657 i\right)$$
=
-4.0 - 3.35290826350811e-16*I
$$-4.0 - 3.35290826350811 \cdot 10^{-16} i$$
-4.0 - 3.35290826350811e-16*i
Respuesta rápida [src]
x1 = -2.73961301011118
$$x_{1} = -2.73961301011118$$
x2 = -2.05304863624867
$$x_{2} = -2.05304863624867$$
x3 = -0.47196705212078
$$x_{3} = -0.47196705212078$$
x4 = 2.98555533219944
$$x_{4} = 2.98555533219944$$
x5 = 0.235530346182999 - 0.334130929025361*I
$$x_{5} = 0.235530346182999 - 0.334130929025361 i$$
x6 = 0.235530346182999 + 0.334130929025361*I
$$x_{6} = 0.235530346182999 + 0.334130929025361 i$$
x7 = 1.73733967029092 - 0.0410140373767657*I
$$x_{7} = 1.73733967029092 - 0.0410140373767657 i$$
x8 = 1.73733967029092 + 0.0410140373767657*I
$$x_{8} = 1.73733967029092 + 0.0410140373767657 i$$
x8 = 1.73733967029092 + 0.0410140373767657*i
Respuesta numérica [src]
x1 = -2.73961301011118
x2 = -2.05304863624867
x3 = -0.47196705212078
x4 = 2.98555533219944
x5 = 0.235530346182999 - 0.334130929025361*i
x6 = 0.235530346182999 + 0.334130929025361*i
x7 = 1.73733967029092 - 0.0410140373767657*i
x8 = 1.73733967029092 + 0.0410140373767657*i
x8 = 1.73733967029092 + 0.0410140373767657*i