Question

Complete the square to transform the quadratic equation into the form (x – p)2 = q.

x2 - 12x - 5 = 7

Answer 1

(x - 6)² = 48

Explanation:

We can solve it by completing square:

x² - 12x - 5 = 7

x² - 12x = 12

x² - 2*6x =12

We need to use formula

a² + 2ab + b² = (a + b)²

x² - 2*6x + 6² - 6² = 12

(x - 6)² = 12 + 36

(x - 6)² = 48