Answer:
x = - 6 ± [tex]\sqrt{37}[/tex]
Step-by-step explanation:
Given
x² + 12x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = 1 + 36
(x + 6)² = 37 ( take the square root of both sides )
x + 6 = ± [tex]\sqrt{37}[/tex] ( subtract 6 from both sides )
x = - 6 ± [tex]\sqrt{37}[/tex] ← exact solutions
