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Popular >

x^3-x= 1/4 x^2-1/4

Solución

x^{3} - x = \frac{1}{4} x^{2} - \frac{1}{4}

Solución

x = \frac{1}{4}, x = - 1, x = 1

+1

Notación decimal

x = 0.25, x = - 1, x = 1

Pasos de solución

x^{3} - x = \frac{1}{4} x^{2} - \frac{1}{4}

Multiplicar ambos lados por

4

4 x^{3} - 4 x = x^{2} - 1

Mover

1

al lado izquierdo

4 x^{3} - 4 x + 1 = x^{2}

Mover

x^{2}

al lado izquierdo

4 x^{3} - 4 x + 1 - x^{2} = 0

Escribir en la forma binómica

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

4 x^{3} - x^{2} - 4 x + 1 = 0

Factorizar

4 x^{3} - x^{2} - 4 x + 1 : (4 x - 1) (x + 1) (x - 1)

(4 x - 1) (x + 1) (x - 1) = 0

Utilizando el teorema de factor cero: si

ab = 0

entonces

a = 0

o

b = 0

4 x - 1 = 0 or x + 1 = 0 or x - 1 = 0

Resolver

4 x - 1 = 0 : x = \frac{1}{4}

Resolver

x + 1 = 0 : x = - 1

Resolver

x - 1 = 0 : x = 1

Las soluciones son

x = \frac{1}{4}, x = - 1, x = 1

Ejemplos populares

x^3+3x^2+3x-7=0

x^{3} + 3 x^{2} + 3 x - 7 = 0

8x^1+x^2+2x^3+x^4=8

8 x^{1} + x^{2} + 2 x^{3} + x^{4} = 8

solvefor x,y^2+1=x^3 resolver para

x, y^{2} + 1 = x^{3}

x^4-4x^3+8x^2-8x+4=0

x^{4} - 4 x^{3} + 8 x^{2} - 8 x + 4 = 0

x^{4} - x^{2} - 1 = 0