Question

How do you solve `2(x-1)^2 - 3 = 3(x+2)` using the quadratic formula?

Answer 1

Expand the whole equation, and then solve using quadratic formula.

Explanation:

`2(x-1)^2-3 = 3(x+2)`

`2x^2-4x+2-3=3x+6`

`2x^2-7x-7=0`

By quadratic formula, `x = 4.312 or -0.812` (3sf)