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((x+3)^2)/5+20/(x+3)^2=8(x+3/5-2/x+3)+1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
       2                                     
(x + 3)       20        /          2    \    
-------- + -------- = 8*|x + 3/5 - - + 3| + 1
   5              2     \          x    /    
           (x + 3)                           
$$\frac{\left(x + 3\right)^{2}}{5} + \frac{20}{\left(x + 3\right)^{2}} = 8 \left(\left(\left(x + \frac{3}{5}\right) - \frac{2}{x}\right) + 3\right) + 1$$
Gráfica
Suma y producto de raíces [src]
suma
-2.02995208458628 + 0.533839156605921 + 37.659506612515 + -4.08169684226731 - 0.991117105404435*I + -4.08169684226731 + 0.991117105404435*I
$$\left(\left(\left(-2.02995208458628 + 0.533839156605921\right) + 37.659506612515\right) + \left(-4.08169684226731 - 0.991117105404435 i\right)\right) + \left(-4.08169684226731 + 0.991117105404435 i\right)$$
=
28.0000000000000
$$28.0$$
producto
-2.02995208458628*0.533839156605921*37.659506612515*(-4.08169684226731 - 0.991117105404435*I)*(-4.08169684226731 + 0.991117105404435*I)
$$37.659506612515 \left(- 0.533839156605921 \cdot 2.02995208458628\right) \left(-4.08169684226731 - 0.991117105404435 i\right) \left(-4.08169684226731 + 0.991117105404435 i\right)$$
=
-720.000000000000
$$-720.0$$
-720.000000000000
Respuesta rápida [src]
x1 = -2.02995208458628
$$x_{1} = -2.02995208458628$$
x2 = 0.533839156605921
$$x_{2} = 0.533839156605921$$
x3 = 37.659506612515
$$x_{3} = 37.659506612515$$
x4 = -4.08169684226731 - 0.991117105404435*I
$$x_{4} = -4.08169684226731 - 0.991117105404435 i$$
x5 = -4.08169684226731 + 0.991117105404435*I
$$x_{5} = -4.08169684226731 + 0.991117105404435 i$$
x5 = -4.08169684226731 + 0.991117105404435*i
Respuesta numérica [src]
x1 = -2.02995208458628
x2 = 0.533839156605921
x3 = 37.659506612515
x4 = -4.08169684226731 - 0.991117105404435*i
x5 = -4.08169684226731 + 0.991117105404435*i
x5 = -4.08169684226731 + 0.991117105404435*i