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((1-0,585x)/9,89)^4*((0,195x)/((0,195-0,195x)*(0,455-0,78x)))-35000=0 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
           4                                      
/    117*x\            /39*x\                     
|1 - -----|            |----|                     
|     200 |            \200 /                     
|---------| *------------------------- - 35000 = 0
|  /989\  |  / 39   39*x\ / 91   39*x\            
|  |---|  |  |--- - ----|*|--- - ----|            
\  \100/  /  \200   200 / \200    50 /            
$$\left(\frac{1 - \frac{117 x}{200}}{\frac{989}{100}}\right)^{4} \frac{\frac{39}{200} x}{\left(\frac{39}{200} - \frac{39 x}{200}\right) \left(\frac{91}{200} - \frac{39 x}{50}\right)} - 35000 = 0$$
Respuesta rápida [src]
x1 = 1308.24766651905
$$x_{1} = 1308.24766651905$$
x2 = -651.496696507019 - 1131.45868243887*I
$$x_{2} = -651.496696507019 - 1131.45868243887 i$$
x3 = -651.496696507019 + 1131.45868243887*I
$$x_{3} = -651.496696507019 + 1131.45868243887 i$$
x3 = -651.496696507019 + 1131.45868243887*i
Suma y producto de raíces [src]
suma
1308.24766651905 + -651.496696507019 - 1131.45868243887*I + -651.496696507019 + 1131.45868243887*I
$$\left(1308.24766651905 + \left(-651.496696507019 - 1131.45868243887 i\right)\right) + \left(-651.496696507019 + 1131.45868243887 i\right)$$
=
5.25427350501036
$$5.25427350501036$$
producto
1308.24766651905*(-651.496696507019 - 1131.45868243887*I)*(-651.496696507019 + 1131.45868243887*I)
$$1308.24766651905 \left(-651.496696507019 - 1131.45868243887 i\right) \left(-651.496696507019 + 1131.45868243887 i\right)$$
=
2230100061.79195
$$2230100061.79195$$
2230100061.79195
Respuesta numérica [src]
x1 = 1308.24766651905
x2 = -651.496696507019 - 1131.45868243887*i
x3 = -651.496696507019 + 1131.45868243887*i
x3 = -651.496696507019 + 1131.45868243887*i