Sr Examen

Otras calculadoras

x^6-42*x^5+630*x^4-4200*x^3+12600*x^2-15120*x+5040=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]
 6       5        4         3          2                     
x  - 42*x  + 630*x  - 4200*x  + 12600*x  - 15120*x + 5040 = 0
$$\left(- 15120 x + \left(12600 x^{2} + \left(- 4200 x^{3} + \left(630 x^{4} + \left(x^{6} - 42 x^{5}\right)\right)\right)\right)\right) + 5040 = 0$$
Respuesta rápida [src]
x1 = 0.527668121711129
$$x_{1} = 0.527668121711129$$
x2 = 1.79629980964341
$$x_{2} = 1.79629980964341$$
x3 = 3.87664152047691
$$x_{3} = 3.87664152047691$$
x4 = 6.91881656670472
$$x_{4} = 6.91881656670472$$
x5 = 11.2346104290831
$$x_{5} = 11.2346104290831$$
x6 = 17.6459635523807
$$x_{6} = 17.6459635523807$$
x6 = 17.6459635523807
Suma y producto de raíces [src]
suma
0.527668121711129 + 1.79629980964341 + 3.87664152047691 + 6.91881656670472 + 11.2346104290831 + 17.6459635523807
$$17.6459635523807 + \left(11.2346104290831 + \left(\left(\left(0.527668121711129 + 1.79629980964341\right) + 3.87664152047691\right) + 6.91881656670472\right)\right)$$
=
42.0000000000000
$$42.0$$
producto
0.527668121711129*1.79629980964341*3.87664152047691*6.91881656670472*11.2346104290831*17.6459635523807
$$17.6459635523807 \cdot 11.2346104290831 \cdot 6.91881656670472 \cdot 3.87664152047691 \cdot 0.527668121711129 \cdot 1.79629980964341$$
=
5040.00000000000
$$5040.0$$
5040.00000000000
Respuesta numérica [src]
x1 = 17.6459635523807
x2 = 3.87664152047691
x3 = 0.527668121711129
x4 = 6.91881656670472
x5 = 1.79629980964341
x6 = 11.2346104290831
x6 = 11.2346104290831