Question

How do you solve `(2x+1)^2=x+2`?

Answer 1

Shown below:

Explanation:

Expand and rearrange:

`4x^2 +4x + 1 = x+2`

`=> 4x^2 +3x -1 = 0`

Factor:

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

`4x -1 = 0 => x = 1/4`

`x+1 = 0 => x = -1`

`x = {-1,1/4 }`