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Popular >

9x^3+54x^2=x+6

Solución

9 x^{3} + 54 x^{2} = x + 6

Solución

x = - 6, x = - \frac{1}{3}, x = \frac{1}{3}

+1

Notación decimal

x = - 6, x = - 0.33333 \dots, x = 0.33333 \dots

Pasos de solución

9 x^{3} + 54 x^{2} = x + 6

Mover

6

al lado izquierdo

9 x^{3} + 54 x^{2} - 6 = x

Mover

x

al lado izquierdo

9 x^{3} + 54 x^{2} - 6 - x = 0

Escribir en la forma binómica

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

9 x^{3} + 54 x^{2} - x - 6 = 0

Factorizar

9 x^{3} + 54 x^{2} - x - 6 : (x + 6) (3 x + 1) (3 x - 1)

(x + 6) (3 x + 1) (3 x - 1) = 0

Utilizando el teorema de factor cero: si

ab = 0

entonces

a = 0

o

b = 0

x + 6 = 0 or 3 x + 1 = 0 or 3 x - 1 = 0

Resolver

x + 6 = 0 : x = - 6

Resolver

3 x + 1 = 0 : x = - \frac{1}{3}

Resolver

3 x - 1 = 0 : x = \frac{1}{3}

Las soluciones son

x = - 6, x = - \frac{1}{3}, x = \frac{1}{3}

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-6x^3+36x^2+42x=0

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