If x^3 = 1/4x, what is the possible value of x?

1 Answer
Jun 27, 2016

x = 0 or x = -1/2 or x = 1/2

Explanation:

Factorize the above equation to get the possible values of x.

x^3 = 1/4*x

=> 4x^3 = x

=> 4x^3 - x = 0

=> x ( 4x^2 - 1) = 0

=> x ( 4x^2 - 1) = 0

=> x ( (2x)^2 - (1)^2) = 0

=> x ( 2x+ 1) ( 2x -1 ) = 0

x = 0 or x = -1/2 or x = 1/2