# How do you solve 2x ^ { 2} - 13x + 18= ( x - 2) ^ { 2}?

Mar 27, 2018

2, 7

#### Explanation:

Expand ${\left(x - 2\right)}^{2}$ which will be ${x}^{2} - 4 x + 4$.
Bring this equation to the left and that will be;
$2 {x}^{2} - {x}^{2} - 13 x + 4 x + 18 - 4$ and this can be simplified to
${x}^{2} - 9 x + 14$
Factorise this by,
(x-7)(x-2).
Solutions are 7 and 2