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2,5625*(x^2)+10-5*((x-1)^2)+16,771*((x-2)^2)-1,667*((x-2)^3)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                                           2               3    
        2                 2   16771*(x - 2)    1667*(x - 2)     
2.5625*x  + 10 - 5*(x - 1)  + -------------- - ------------- = 0
                                   1000             1000        
$$- \frac{1667 \left(x - 2\right)^{3}}{1000} + \left(\frac{16771 \left(x - 2\right)^{2}}{1000} + \left(- 5 \left(x - 1\right)^{2} + \left(2.5625 x^{2} + 10\right)\right)\right) = 0$$
Gráfica
Suma y producto de raíces [src]
suma
10.7354334649479 + 1.93147342949364 - 1.02105469863986*I + 1.93147342949364 + 1.02105469863986*I
$$\left(10.7354334649479 + \left(1.93147342949364 - 1.02105469863986 i\right)\right) + \left(1.93147342949364 + 1.02105469863986 i\right)$$
=
14.5983803239352
$$14.5983803239352$$
producto
10.7354334649479*(1.93147342949364 - 1.02105469863986*I)*(1.93147342949364 + 1.02105469863986*I)
$$10.7354334649479 \left(1.93147342949364 - 1.02105469863986 i\right) \left(1.93147342949364 + 1.02105469863986 i\right)$$
=
51.2417516496701 - 3.5527136788005e-15*I
$$51.2417516496701 - 3.5527136788005 \cdot 10^{-15} i$$
51.2417516496701 - 3.5527136788005e-15*i
Respuesta rápida [src]
x1 = 10.7354334649479
$$x_{1} = 10.7354334649479$$
x2 = 1.93147342949364 - 1.02105469863986*I
$$x_{2} = 1.93147342949364 - 1.02105469863986 i$$
x3 = 1.93147342949364 + 1.02105469863986*I
$$x_{3} = 1.93147342949364 + 1.02105469863986 i$$
x3 = 1.93147342949364 + 1.02105469863986*i
Respuesta numérica [src]
x1 = 10.7354334649479
x2 = 1.93147342949364 + 1.02105469863986*i
x3 = 1.93147342949364 - 1.02105469863986*i
x3 = 1.93147342949364 - 1.02105469863986*i