Question

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

Answer 1

Answer:

$x=-3\:or\:x=\frac{3}{2}$

Step-by-step 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:

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

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

$x=-3\:or\:x=\frac{3}{2}$