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x^5+2x^4+5x^3+8x^2-7x-3=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 5      4      3      2              
x  + 2*x  + 5*x  + 8*x  - 7*x - 3 = 0
$$\left(- 7 x + \left(8 x^{2} + \left(5 x^{3} + \left(x^{5} + 2 x^{4}\right)\right)\right)\right) - 3 = 0$$
Gráfica
Respuesta rápida [src]
x1 = -2.07299389874442
$$x_{1} = -2.07299389874442$$
x2 = -0.328038079810926
$$x_{2} = -0.328038079810926$$
x3 = 0.789295551388694
$$x_{3} = 0.789295551388694$$
x4 = -0.194131786416673 - 2.35619125438432*I
$$x_{4} = -0.194131786416673 - 2.35619125438432 i$$
x5 = -0.194131786416673 + 2.35619125438432*I
$$x_{5} = -0.194131786416673 + 2.35619125438432 i$$
x5 = -0.194131786416673 + 2.35619125438432*i
Suma y producto de raíces [src]
suma
-2.07299389874442 - 0.328038079810926 + 0.789295551388694 + -0.194131786416673 - 2.35619125438432*I + -0.194131786416673 + 2.35619125438432*I
$$\left(\left(\left(-2.07299389874442 - 0.328038079810926\right) + 0.789295551388694\right) + \left(-0.194131786416673 - 2.35619125438432 i\right)\right) + \left(-0.194131786416673 + 2.35619125438432 i\right)$$
=
-2.00000000000000
$$-2.0$$
producto
-2.07299389874442*-0.328038079810926*0.789295551388694*(-0.194131786416673 - 2.35619125438432*I)*(-0.194131786416673 + 2.35619125438432*I)
$$0.789295551388694 \left(- \left(-0.328038079810926\right) 2.07299389874442\right) \left(-0.194131786416673 - 2.35619125438432 i\right) \left(-0.194131786416673 + 2.35619125438432 i\right)$$
=
3.0 - 2.77555756156289e-17*I
$$3.0 - 2.77555756156289 \cdot 10^{-17} i$$
3.0 - 2.77555756156289e-17*i
Respuesta numérica [src]
x1 = -2.07299389874442
x2 = -0.328038079810926
x3 = -0.194131786416673 + 2.35619125438432*i
x4 = -0.194131786416673 - 2.35619125438432*i
x5 = 0.789295551388694
x5 = 0.789295551388694