Question

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

Answer 1

2, 7

Explanation:

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