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8*x^7+5*x+9=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

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Solución numérica:

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Solución

Ha introducido [src]
   7              
8*x  + 5*x + 9 = 0
(8x7+5x)+9=0\left(8 x^{7} + 5 x\right) + 9 = 0
Gráfica
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-200000000200000000
Suma y producto de raíces [src]
suma
-0.918381191192108 + -0.666749835717962 - 0.711059312067538*I + -0.666749835717962 + 0.711059312067538*I + 0.964148351824567 - 0.494738102535511*I + 0.964148351824567 + 0.494738102535511*I + 0.16179207948945 - 1.03520767748834*I + 0.16179207948945 + 1.03520767748834*I
((0.161792079489451.03520767748834i)+(((0.9641483518245670.494738102535511i)+((0.918381191192108+(0.6667498357179620.711059312067538i))+(0.666749835717962+0.711059312067538i)))+(0.964148351824567+0.494738102535511i)))+(0.16179207948945+1.03520767748834i)\left(\left(0.16179207948945 - 1.03520767748834 i\right) + \left(\left(\left(0.964148351824567 - 0.494738102535511 i\right) + \left(\left(-0.918381191192108 + \left(-0.666749835717962 - 0.711059312067538 i\right)\right) + \left(-0.666749835717962 + 0.711059312067538 i\right)\right)\right) + \left(0.964148351824567 + 0.494738102535511 i\right)\right)\right) + \left(0.16179207948945 + 1.03520767748834 i\right)
=
-1.11022302462516e-16
1.110223024625161016-1.11022302462516 \cdot 10^{-16}
producto
-0.918381191192108*(-0.666749835717962 - 0.711059312067538*I)*(-0.666749835717962 + 0.711059312067538*I)*(0.964148351824567 - 0.494738102535511*I)*(0.964148351824567 + 0.494738102535511*I)*(0.16179207948945 - 1.03520767748834*I)*(0.16179207948945 + 1.03520767748834*I)
0.918381191192108(0.6667498357179620.711059312067538i)(0.666749835717962+0.711059312067538i)(0.9641483518245670.494738102535511i)(0.964148351824567+0.494738102535511i)(0.161792079489451.03520767748834i)(0.16179207948945+1.03520767748834i)- 0.918381191192108 \left(-0.666749835717962 - 0.711059312067538 i\right) \left(-0.666749835717962 + 0.711059312067538 i\right) \left(0.964148351824567 - 0.494738102535511 i\right) \left(0.964148351824567 + 0.494738102535511 i\right) \left(0.16179207948945 - 1.03520767748834 i\right) \left(0.16179207948945 + 1.03520767748834 i\right)
=
-1.125 - 8.32667268468867e-17*I
1.1258.326672684688671017i-1.125 - 8.32667268468867 \cdot 10^{-17} i
-1.125 - 8.32667268468867e-17*i
Respuesta rápida [src]
x1 = -0.918381191192108
x1=0.918381191192108x_{1} = -0.918381191192108
x2 = -0.666749835717962 - 0.711059312067538*I
x2=0.6667498357179620.711059312067538ix_{2} = -0.666749835717962 - 0.711059312067538 i
x3 = -0.666749835717962 + 0.711059312067538*I
x3=0.666749835717962+0.711059312067538ix_{3} = -0.666749835717962 + 0.711059312067538 i
x4 = 0.964148351824567 - 0.494738102535511*I
x4=0.9641483518245670.494738102535511ix_{4} = 0.964148351824567 - 0.494738102535511 i
x5 = 0.964148351824567 + 0.494738102535511*I
x5=0.964148351824567+0.494738102535511ix_{5} = 0.964148351824567 + 0.494738102535511 i
x6 = 0.16179207948945 - 1.03520767748834*I
x6=0.161792079489451.03520767748834ix_{6} = 0.16179207948945 - 1.03520767748834 i
x7 = 0.16179207948945 + 1.03520767748834*I
x7=0.16179207948945+1.03520767748834ix_{7} = 0.16179207948945 + 1.03520767748834 i
x7 = 0.16179207948945 + 1.03520767748834*i
Respuesta numérica [src]
x1 = 0.16179207948945 + 1.03520767748834*i
x2 = 0.16179207948945 - 1.03520767748834*i
x3 = 0.964148351824567 - 0.494738102535511*i
x4 = -0.918381191192108
x5 = -0.666749835717962 - 0.711059312067538*i
x6 = -0.666749835717962 + 0.711059312067538*i
x7 = 0.964148351824567 + 0.494738102535511*i
x7 = 0.964148351824567 + 0.494738102535511*i