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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)           
1271500+(9104x)4(x+710)(1104x)4(110x)=0- \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
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-1000010000
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
((0.1571503408469680.168512082067559i)+((0.411883187205433+(0.1487912527557480.0319634027798875i))+(0.148791252755748+0.0319634027798875i)))+(0.157150340846968+0.168512082067559i)\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
0.20.2
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(0.1487912527557480.0319634027798875i)(0.148791252755748+0.0319634027798875i)(0.1571503408469680.168512082067559i)(0.157150340846968+0.168512082067559i)- 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
0.0005064720893915872.710505431213761020i-0.000506472089391587 - 2.71050543121376 \cdot 10^{-20} i
-0.000506472089391587 - 2.71050543121376e-20*i
Respuesta rápida [src]
x1 = -0.411883187205433
x1=0.411883187205433x_{1} = -0.411883187205433
x2 = 0.148791252755748 - 0.0319634027798875*I
x2=0.1487912527557480.0319634027798875ix_{2} = 0.148791252755748 - 0.0319634027798875 i
x3 = 0.148791252755748 + 0.0319634027798875*I
x3=0.148791252755748+0.0319634027798875ix_{3} = 0.148791252755748 + 0.0319634027798875 i
x4 = 0.157150340846968 - 0.168512082067559*I
x4=0.1571503408469680.168512082067559ix_{4} = 0.157150340846968 - 0.168512082067559 i
x5 = 0.157150340846968 + 0.168512082067559*I
x5=0.157150340846968+0.168512082067559ix_{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