Answer:
x ≈ -7.73 , - 4.27
Step-by-step 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 = ± [tex]\sqrt{3}[/tex] ( subtract 6 from both sides )
x = - 6 ± [tex]\sqrt{3}[/tex]
Then
x = - 6 - [tex]\sqrt{3}[/tex] ≈ - 7.73 ( to the nearest hundredth )
x = - 6 + [tex]\sqrt{3}[/tex] ≈ - 4.27 ( to the nearest hundredth )
