Question

Complete the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 + 14x + 34 = 5

Answer 1

(x + 7)² = 20

subtract 34 from both sides

x² + 14x = - 29

add (half the coefficient of the x- term )² to both sides

x² + 2(7)x + 49 = - 29 + 49

(x + 7)² = 20