Sr Examen

Otras calculadoras

(x-1)*(x-2)*(x-5)/3*x^2-2*x-1=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
(x - 1)*(x - 2)*(x - 5)  2              
-----------------------*x  - 2*x - 1 = 0
           3                            
$$\left(x^{2} \frac{\left(x - 2\right) \left(x - 1\right) \left(x - 5\right)}{3} - 2 x\right) - 1 = 0$$
Gráfica
Suma y producto de raíces [src]
suma
5.10151716792621 + -0.245583036505749 - 0.312671561808049*I + -0.245583036505749 + 0.312671561808049*I + 1.69482445254265 - 0.920715023509059*I + 1.69482445254265 + 0.920715023509059*I
$$\left(\left(1.69482445254265 - 0.920715023509059 i\right) + \left(\left(5.10151716792621 + \left(-0.245583036505749 - 0.312671561808049 i\right)\right) + \left(-0.245583036505749 + 0.312671561808049 i\right)\right)\right) + \left(1.69482445254265 + 0.920715023509059 i\right)$$
=
8.00000000000000
$$8.0$$
producto
5.10151716792621*(-0.245583036505749 - 0.312671561808049*I)*(-0.245583036505749 + 0.312671561808049*I)*(1.69482445254265 - 0.920715023509059*I)*(1.69482445254265 + 0.920715023509059*I)
$$5.10151716792621 \left(-0.245583036505749 - 0.312671561808049 i\right) \left(-0.245583036505749 + 0.312671561808049 i\right) \left(1.69482445254265 - 0.920715023509059 i\right) \left(1.69482445254265 + 0.920715023509059 i\right)$$
=
3.0 + 2.06509591618818e-16*I
$$3.0 + 2.06509591618818 \cdot 10^{-16} i$$
3.0 + 2.06509591618818e-16*i
Respuesta rápida [src]
x1 = 5.10151716792621
$$x_{1} = 5.10151716792621$$
x2 = -0.245583036505749 - 0.312671561808049*I
$$x_{2} = -0.245583036505749 - 0.312671561808049 i$$
x3 = -0.245583036505749 + 0.312671561808049*I
$$x_{3} = -0.245583036505749 + 0.312671561808049 i$$
x4 = 1.69482445254265 - 0.920715023509059*I
$$x_{4} = 1.69482445254265 - 0.920715023509059 i$$
x5 = 1.69482445254265 + 0.920715023509059*I
$$x_{5} = 1.69482445254265 + 0.920715023509059 i$$
x5 = 1.69482445254265 + 0.920715023509059*i
Respuesta numérica [src]
x1 = -0.245583036505749 - 0.312671561808049*i
x2 = -0.245583036505749 + 0.312671561808049*i
x3 = 1.69482445254265 - 0.920715023509059*i
x4 = 5.10151716792621
x5 = 1.69482445254265 + 0.920715023509059*i
x5 = 1.69482445254265 + 0.920715023509059*i