Question

Find the roots of the parabola given by the following equation
2x^2+5X-9=2x

Answer 1

`x=-3\:or\:x=(3)/(2)`

Explanation:

The given parabola has equation

`2x^2+5x-9=2x`

We rewrite in standard form to obtain:

`2x^2+5x-2x-9=0`

`2x^2+3x-9=0`

Split the middle terms to get:

`2x^2+6x-3x-9=0`

Factor by grouping:

`2x(x+3)-3(x+3)=0`

`(x+3)(2x-3)=0`

`x=-3\:or\:x=(3)/(2)`