Question

Solve the quadratic equation by completing the square.
PLEASE HELPPPPPPPPPPPPPP!!!!!!

Answer 1

Answer: 5.26

Explanation:

Yes

Answer 2

x ≈ - 12.74, x ≈ - 5.26

Explanation:

Given

x² + 18x + 67 = 0 ( subtract 67 from both sides )

x² + 18x = - 67

To complete the square

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

x² + 2(9)x + 81 = - 67 + 81

(x + 9)² = 14 ( take the square root of both sides )

x + 9 = ±
`√(14)` ( subtract 9 from both sides )

x = - 9 ±
`√(14)`

Hence

x = - 9 -
`√(14)` ≈ - 12.74

x = - 9 +
`√(14)` ≈ - 5.26