Question

Please help me answer this question, I’m stuck! No phony answers please!!!

Answer 1

x ≈ -7.73 , - 4.27

Explanation:

x² + 12x + 33 = 0 ( subtract 33 from both sides )

x² + 12x = - 33

To complete the square

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

x² + 2(6)x + 36 = - 33 + 36

(x + 6)² = 3 ← take square root of both sides )

x + 6 = ±
`√(3)` ( subtract 6 from both sides )

x = - 6 ±
`√(3)`

Then

x = - 6 -
`√(3)` ≈ - 7.73 ( to the nearest hundredth )

x = - 6 +
`√(3)` ≈ - 4.27 ( to the nearest hundredth )