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(x+(7/10))*((9/10)-4*x)^4/(((1/10)-4*x)^4*((1/10)-x))-(1271/500)=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
                       4           
(x + 7/10)*(9/10 - 4*x)    1271    
------------------------ - ---- = 0
            4              500     
(1/10 - 4*x) *(1/10 - x)           
$$- \frac{1271}{500} + \frac{\left(\frac{9}{10} - 4 x\right)^{4} \left(x + \frac{7}{10}\right)}{\left(\frac{1}{10} - 4 x\right)^{4} \left(\frac{1}{10} - x\right)} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
-0.411883187205433 + 0.148791252755748 - 0.0319634027798875*I + 0.148791252755748 + 0.0319634027798875*I + 0.157150340846968 - 0.168512082067559*I + 0.157150340846968 + 0.168512082067559*I
$$\left(\left(0.157150340846968 - 0.168512082067559 i\right) + \left(\left(-0.411883187205433 + \left(0.148791252755748 - 0.0319634027798875 i\right)\right) + \left(0.148791252755748 + 0.0319634027798875 i\right)\right)\right) + \left(0.157150340846968 + 0.168512082067559 i\right)$$
=
0.200000000000000
$$0.2$$
producto
-0.411883187205433*(0.148791252755748 - 0.0319634027798875*I)*(0.148791252755748 + 0.0319634027798875*I)*(0.157150340846968 - 0.168512082067559*I)*(0.157150340846968 + 0.168512082067559*I)
$$- 0.411883187205433 \left(0.148791252755748 - 0.0319634027798875 i\right) \left(0.148791252755748 + 0.0319634027798875 i\right) \left(0.157150340846968 - 0.168512082067559 i\right) \left(0.157150340846968 + 0.168512082067559 i\right)$$
=
-0.000506472089391587 - 2.71050543121376e-20*I
$$-0.000506472089391587 - 2.71050543121376 \cdot 10^{-20} i$$
-0.000506472089391587 - 2.71050543121376e-20*i
Respuesta rápida [src]
x1 = -0.411883187205433
$$x_{1} = -0.411883187205433$$
x2 = 0.148791252755748 - 0.0319634027798875*I
$$x_{2} = 0.148791252755748 - 0.0319634027798875 i$$
x3 = 0.148791252755748 + 0.0319634027798875*I
$$x_{3} = 0.148791252755748 + 0.0319634027798875 i$$
x4 = 0.157150340846968 - 0.168512082067559*I
$$x_{4} = 0.157150340846968 - 0.168512082067559 i$$
x5 = 0.157150340846968 + 0.168512082067559*I
$$x_{5} = 0.157150340846968 + 0.168512082067559 i$$
x5 = 0.157150340846968 + 0.168512082067559*i
Respuesta numérica [src]
x1 = -0.411883187205433
x2 = 0.148791252755748 - 0.0319634027798875*i
x3 = 0.148791252755748 + 0.0319634027798875*i
x4 = 0.157150340846968 - 0.168512082067559*i
x5 = 0.157150340846968 + 0.168512082067559*i
x5 = 0.157150340846968 + 0.168512082067559*i