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sqrt3(x^4+1) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
        0.333333333333333    
/ 4    \                     
\x  + 1/                  = 0
$$\left(x^{4} + 1\right)^{0.333333333333333} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
-0.707106781186548 - 0.707106781186548*I + -0.707106781186548 + 0.707106781186548*I + 0.707106781186548 - 0.707106781186548*I + 0.707106781186548 + 0.707106781186548*I
$$\left(\left(0.707106781186548 - 0.707106781186548 i\right) + \left(\left(-0.707106781186548 - 0.707106781186548 i\right) + \left(-0.707106781186548 + 0.707106781186548 i\right)\right)\right) + \left(0.707106781186548 + 0.707106781186548 i\right)$$
=
0
$$0$$
producto
(-0.707106781186548 - 0.707106781186548*I)*(-0.707106781186548 + 0.707106781186548*I)*(0.707106781186548 - 0.707106781186548*I)*(0.707106781186548 + 0.707106781186548*I)
$$\left(-0.707106781186548 - 0.707106781186548 i\right) \left(-0.707106781186548 + 0.707106781186548 i\right) \left(0.707106781186548 - 0.707106781186548 i\right) \left(0.707106781186548 + 0.707106781186548 i\right)$$
=
1.00000000000000
$$1.0$$
1.00000000000000
Respuesta rápida [src]
x1 = -0.707106781186548 - 0.707106781186548*I
$$x_{1} = -0.707106781186548 - 0.707106781186548 i$$
x2 = -0.707106781186548 + 0.707106781186548*I
$$x_{2} = -0.707106781186548 + 0.707106781186548 i$$
x3 = 0.707106781186548 - 0.707106781186548*I
$$x_{3} = 0.707106781186548 - 0.707106781186548 i$$
x4 = 0.707106781186548 + 0.707106781186548*I
$$x_{4} = 0.707106781186548 + 0.707106781186548 i$$
x4 = 0.707106781186548 + 0.707106781186548*i
Respuesta numérica [src]
x1 = -0.707106781186548 - 0.707106781186548*i
x2 = -0.707106781186548 + 0.707106781186548*i
x3 = 0.707106781186548 - 0.707106781186548*i
x4 = 0.707106781186548 + 0.707106781186548*i
x4 = 0.707106781186548 + 0.707106781186548*i