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7*x^5-2*x^4+5x^3-x^2+3*x-24=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
   5      4      3    2               
7*x  - 2*x  + 5*x  - x  + 3*x - 24 = 0
$$\left(3 x + \left(- x^{2} + \left(5 x^{3} + \left(7 x^{5} - 2 x^{4}\right)\right)\right)\right) - 24 = 0$$
Gráfica
Suma y producto de raíces [src]
suma
1.19912129267977 + -0.899038518798097 - 0.845658598869725*I + -0.899038518798097 + 0.845658598869725*I + 0.442335015315355 - 1.29661381422863*I + 0.442335015315355 + 1.29661381422863*I
$$\left(\left(0.442335015315355 - 1.29661381422863 i\right) + \left(\left(1.19912129267977 + \left(-0.899038518798097 - 0.845658598869725 i\right)\right) + \left(-0.899038518798097 + 0.845658598869725 i\right)\right)\right) + \left(0.442335015315355 + 1.29661381422863 i\right)$$
=
0.285714285714286
$$0.285714285714286$$
producto
1.19912129267977*(-0.899038518798097 - 0.845658598869725*I)*(-0.899038518798097 + 0.845658598869725*I)*(0.442335015315355 - 1.29661381422863*I)*(0.442335015315355 + 1.29661381422863*I)
$$1.19912129267977 \left(-0.899038518798097 - 0.845658598869725 i\right) \left(-0.899038518798097 + 0.845658598869725 i\right) \left(0.442335015315355 - 1.29661381422863 i\right) \left(0.442335015315355 + 1.29661381422863 i\right)$$
=
3.42857142857143
$$3.42857142857143$$
3.42857142857143
Respuesta rápida [src]
x1 = 1.19912129267977
$$x_{1} = 1.19912129267977$$
x2 = -0.899038518798097 - 0.845658598869725*I
$$x_{2} = -0.899038518798097 - 0.845658598869725 i$$
x3 = -0.899038518798097 + 0.845658598869725*I
$$x_{3} = -0.899038518798097 + 0.845658598869725 i$$
x4 = 0.442335015315355 - 1.29661381422863*I
$$x_{4} = 0.442335015315355 - 1.29661381422863 i$$
x5 = 0.442335015315355 + 1.29661381422863*I
$$x_{5} = 0.442335015315355 + 1.29661381422863 i$$
x5 = 0.442335015315355 + 1.29661381422863*i
Respuesta numérica [src]
x1 = -0.899038518798097 - 0.845658598869725*i
x2 = 0.442335015315355 - 1.29661381422863*i
x3 = -0.899038518798097 + 0.845658598869725*i
x4 = 0.442335015315355 + 1.29661381422863*i
x5 = 1.19912129267977
x5 = 1.19912129267977