Answer:
see explanation
Step-by-step explanation:
x² + 12x + 22 = 0 ( subtract 22 from both sides )
x² + 12x = - 22
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = - 22 + 36
(x + 6)² = 14 ( take square root of both sides )
x + 6 = ± [tex]\sqrt{14}[/tex] ( subtract 6 from both sides )
x = - 6 ± [tex]\sqrt{14}[/tex]
Then
x = - 6 + [tex]\sqrt{14}[/tex] ≈ - 2.26 ( to the nearest hundredth )
x = - 6 - [tex]\sqrt{14}[/tex] ≈ - 9.74 ( to the nearest hundredth )
