7*x^5-2*x^4+5x^3-x^2+3*x-24=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Gráfica
-12.5 -10.0 -7.5 -5.0 -2.5 0.0 2.5 5.0 7.5 10.0 12.5 15.0 -2000000 2000000
Suma y producto de raíces
[src]
1.19912129267977 + -0.899038518798097 - 0.845658598869725*I + -0.899038518798097 + 0.845658598869725*I + 0.442335015315355 - 1.29661381422863*I + 0.442335015315355 + 1.29661381422863*I
( ( 0.442335015315355 − 1.29661381422863 i ) + ( ( 1.19912129267977 + ( − 0.899038518798097 − 0.845658598869725 i ) ) + ( − 0.899038518798097 + 0.845658598869725 i ) ) ) + ( 0.442335015315355 + 1.29661381422863 i ) \left(\left(0.442335015315355 - 1.29661381422863 i\right) + \left(\left(1.19912129267977 + \left(-0.899038518798097 - 0.845658598869725 i\right)\right) + \left(-0.899038518798097 + 0.845658598869725 i\right)\right)\right) + \left(0.442335015315355 + 1.29661381422863 i\right) ( ( 0.442335015315355 − 1.29661381422863 i ) + ( ( 1.19912129267977 + ( − 0.899038518798097 − 0.845658598869725 i ) ) + ( − 0.899038518798097 + 0.845658598869725 i ) ) ) + ( 0.442335015315355 + 1.29661381422863 i )
0.285714285714286 0.285714285714286 0.285714285714286
1.19912129267977*(-0.899038518798097 - 0.845658598869725*I)*(-0.899038518798097 + 0.845658598869725*I)*(0.442335015315355 - 1.29661381422863*I)*(0.442335015315355 + 1.29661381422863*I)
1.19912129267977 ( − 0.899038518798097 − 0.845658598869725 i ) ( − 0.899038518798097 + 0.845658598869725 i ) ( 0.442335015315355 − 1.29661381422863 i ) ( 0.442335015315355 + 1.29661381422863 i ) 1.19912129267977 \left(-0.899038518798097 - 0.845658598869725 i\right) \left(-0.899038518798097 + 0.845658598869725 i\right) \left(0.442335015315355 - 1.29661381422863 i\right) \left(0.442335015315355 + 1.29661381422863 i\right) 1.19912129267977 ( − 0.899038518798097 − 0.845658598869725 i ) ( − 0.899038518798097 + 0.845658598869725 i ) ( 0.442335015315355 − 1.29661381422863 i ) ( 0.442335015315355 + 1.29661381422863 i )
3.42857142857143 3.42857142857143 3.42857142857143
x 1 = 1.19912129267977 x_{1} = 1.19912129267977 x 1 = 1.19912129267977
x2 = -0.899038518798097 - 0.845658598869725*I
x 2 = − 0.899038518798097 − 0.845658598869725 i x_{2} = -0.899038518798097 - 0.845658598869725 i x 2 = − 0.899038518798097 − 0.845658598869725 i
x3 = -0.899038518798097 + 0.845658598869725*I
x 3 = − 0.899038518798097 + 0.845658598869725 i x_{3} = -0.899038518798097 + 0.845658598869725 i x 3 = − 0.899038518798097 + 0.845658598869725 i
x4 = 0.442335015315355 - 1.29661381422863*I
x 4 = 0.442335015315355 − 1.29661381422863 i x_{4} = 0.442335015315355 - 1.29661381422863 i x 4 = 0.442335015315355 − 1.29661381422863 i
x5 = 0.442335015315355 + 1.29661381422863*I
x 5 = 0.442335015315355 + 1.29661381422863 i x_{5} = 0.442335015315355 + 1.29661381422863 i x 5 = 0.442335015315355 + 1.29661381422863 i
x5 = 0.442335015315355 + 1.29661381422863*i
x1 = -0.899038518798097 - 0.845658598869725*i
x2 = 0.442335015315355 - 1.29661381422863*i
x3 = -0.899038518798097 + 0.845658598869725*i
x4 = 0.442335015315355 + 1.29661381422863*i