Question

Solve the following quadratic equation by factorization method

`sqrt("a"("a" - 7)) = 3sqrt(2)`

Answer 1

`sqrt("a"("a" - 7)) = 3sqrt(2)`

Squaring on both sides

a(a – 7) = `(3sqrt(2))^2`

a² – 7a = 18

a² – 7a – 18 = 0

(a – 9) (a + 2) = 0

a – 9 = 0 or a + 2 = 0

The roots are – 2 and 9