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2*x^5+2*x^4+x^3+x^2+5*x+2=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   5      4    3    2              
2*x  + 2*x  + x  + x  + 5*x + 2 = 0
$$\left(5 x + \left(x^{2} + \left(x^{3} + \left(2 x^{5} + 2 x^{4}\right)\right)\right)\right) + 2 = 0$$
Gráfica
Respuesta rápida [src]
x1 = -0.428720127173388
$$x_{1} = -0.428720127173388$$
x2 = -0.99345798851234 - 0.830474981782981*I
$$x_{2} = -0.99345798851234 - 0.830474981782981 i$$
x3 = -0.99345798851234 + 0.830474981782981*I
$$x_{3} = -0.99345798851234 + 0.830474981782981 i$$
x4 = 0.707818052099034 - 0.943491890887567*I
$$x_{4} = 0.707818052099034 - 0.943491890887567 i$$
x5 = 0.707818052099034 + 0.943491890887567*I
$$x_{5} = 0.707818052099034 + 0.943491890887567 i$$
x5 = 0.707818052099034 + 0.943491890887567*i
Suma y producto de raíces [src]
suma
-0.428720127173388 + -0.99345798851234 - 0.830474981782981*I + -0.99345798851234 + 0.830474981782981*I + 0.707818052099034 - 0.943491890887567*I + 0.707818052099034 + 0.943491890887567*I
$$\left(\left(0.707818052099034 - 0.943491890887567 i\right) + \left(\left(-0.428720127173388 + \left(-0.99345798851234 - 0.830474981782981 i\right)\right) + \left(-0.99345798851234 + 0.830474981782981 i\right)\right)\right) + \left(0.707818052099034 + 0.943491890887567 i\right)$$
=
-1.00000000000000
$$-1.0$$
producto
-0.428720127173388*(-0.99345798851234 - 0.830474981782981*I)*(-0.99345798851234 + 0.830474981782981*I)*(0.707818052099034 - 0.943491890887567*I)*(0.707818052099034 + 0.943491890887567*I)
$$- 0.428720127173388 \left(-0.99345798851234 - 0.830474981782981 i\right) \left(-0.99345798851234 + 0.830474981782981 i\right) \left(0.707818052099034 - 0.943491890887567 i\right) \left(0.707818052099034 + 0.943491890887567 i\right)$$
=
-1.00000000000000
$$-1.0$$
-1.00000000000000
Respuesta numérica [src]
x1 = 0.707818052099034 + 0.943491890887567*i
x2 = -0.99345798851234 + 0.830474981782981*i
x3 = 0.707818052099034 - 0.943491890887567*i
x4 = -0.428720127173388
x5 = -0.99345798851234 - 0.830474981782981*i
x5 = -0.99345798851234 - 0.830474981782981*i