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x^5-6*x+3=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
 5              
x  - 6*x + 3 = 0
(x56x)+3=0\left(x^{5} - 6 x\right) + 3 = 0
Gráfica
0246810121416-200000200000
Respuesta rápida [src]
x1 = -1.67093526448087
x1=1.67093526448087x_{1} = -1.67093526448087
x2 = 0.505501230405525
x2=0.505501230405525x_{2} = 0.505501230405525
x3 = 1.40164187926531
x3=1.40164187926531x_{3} = 1.40164187926531
x4 = -0.118103922594987 - 1.58745916212076*I
x4=0.1181039225949871.58745916212076ix_{4} = -0.118103922594987 - 1.58745916212076 i
x5 = -0.118103922594987 + 1.58745916212076*I
x5=0.118103922594987+1.58745916212076ix_{5} = -0.118103922594987 + 1.58745916212076 i
x5 = -0.118103922594987 + 1.58745916212076*i
Suma y producto de raíces [src]
suma
-1.67093526448087 + 0.505501230405525 + 1.40164187926531 + -0.118103922594987 - 1.58745916212076*I + -0.118103922594987 + 1.58745916212076*I
(((1.67093526448087+0.505501230405525)+1.40164187926531)+(0.1181039225949871.58745916212076i))+(0.118103922594987+1.58745916212076i)\left(\left(\left(-1.67093526448087 + 0.505501230405525\right) + 1.40164187926531\right) + \left(-0.118103922594987 - 1.58745916212076 i\right)\right) + \left(-0.118103922594987 + 1.58745916212076 i\right)
=
-5.55111512312578e-17
5.551115123125781017-5.55111512312578 \cdot 10^{-17}
producto
-1.67093526448087*0.505501230405525*1.40164187926531*(-0.118103922594987 - 1.58745916212076*I)*(-0.118103922594987 + 1.58745916212076*I)
1.40164187926531(0.5055012304055251.67093526448087)(0.1181039225949871.58745916212076i)(0.118103922594987+1.58745916212076i)1.40164187926531 \left(- 0.505501230405525 \cdot 1.67093526448087\right) \left(-0.118103922594987 - 1.58745916212076 i\right) \left(-0.118103922594987 + 1.58745916212076 i\right)
=
-3.00000000000000
3.0-3.0
-3.00000000000000
Respuesta numérica [src]
x1 = 1.40164187926531
x2 = -1.67093526448087
x3 = -0.118103922594987 + 1.58745916212076*i
x4 = -0.118103922594987 - 1.58745916212076*i
x5 = 0.505501230405525
x5 = 0.505501230405525