Question

Solve each equation.
(x + 3)(x - 3) = 16 - 2x^2

Answer 1

`x = ± (5 √(3) )/(3)`

Explanation:

`(x + 3)(x - 3) = 16 - 2 {x}^(2)`

Use the quick multiplication formula:

`{x}^(2) - 9 = 16 - 2 {x}^(2)`

`{x}^(2) + 2 {x}^(2) = 16 + 9`

`3 {x}^(2) = 25`

Divide both parts by 3 to make x the subject:

`{x}^(2) = ±8 (1)/(3)`

`x = ± (5 √(3) )/(3)`