Solve the quadratic equation by completing the square.

x ≈ - 12.74, x ≈ - 5.26

Step-by-step 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 = ± ( subtract 9 from both sides )

x = - 9 ±

Hence

x = - 9 - ≈ - 12.74

x = - 9 + ≈ - 5.26

36

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)