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Popular >

x^2+x^8=1565498

Solución

x^{2} + x^{8} = 1565498

Solución

x = \frac{1.7686 E 14}{5000000000000}, x = - \frac{1.7686 E 14}{5000000000000}

+1

Notación decimal

x = 5.94744 \dots, x = - 5.94744 \dots

Pasos de solución

x^{2} + x^{8} = 1565498

Mover

1565498

al lado izquierdo

x^{2} + x^{8} - 1565498 = 0

Escribir en la forma binómica

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{8} + x^{2} - 1565498 = 0

Re-escribir la ecuación con

u = x^{2}

y

u^{4} = x^{8}

u^{4} + u - 1565498 = 0

Resolver

u^{4} + u - 1565498 = 0 : u \approx 35.37208 \dots, u \approx - 35.37248 \dots

u \approx 35.37208 \dots, u \approx - 35.37248 \dots

Sustituir hacia atrás la

u = x^{2},

resolver para

x

Resolver

x^{2} = 35.37208 \dots : x = \frac{1.7686 E 14}{5000000000000}, x = - \frac{1.7686 E 14}{5000000000000}

Resolver

x^{2} = - 35.37248 \dots :

Sin solución para

x \in R

Las soluciones son

x = \frac{1.7686 E 14}{5000000000000}, x = - \frac{1.7686 E 14}{5000000000000}

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