Solve the quadratic equation by completing the square.
question attched

x ≈ - 9.41, x ≈ - 6.59

Step-by-step explanation:

Given

x² + 16x + 62 = 0 ( subtract 62 from both sides )

x² + 16x = - 62

To complete the square

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

x² + 2(8)x + 64 = - 62 + 64

(x + 8)² = 2 ( take the square root of both sides )

x + 8 = ± ( subtract 8 from both sides )

x = - 8 ±

Hence

x = - 8 - ≈ - 9.41

x = - 8 + ≈ - 6.59