Question

Solve the equation
4x^3
- x=0

Answer 1

`x=0, (1)/(2), -(1)/(2)`

Explanation:

`4x^3-x=0 \\\\x(4x^2-1)=0 \\\\x(2x-1)(2x+1)=0 \\\\x=0, (1)/(2), -(1)/(2)`

Hope this helps!

Answer 2

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

Explanation:

4x^3 - x=0

Factor out an x

x(4x^2 -1) =0

Factor inside the parentheses ( difference of squares a^2 -b^2 = (a-b)(a+b))

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

Using the zero product property

x=0 2x-1 =0 2x+1 =0

x =0 2x=1 2x = -1

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