Solve the equation by completing the square. x^2 + 12x + 36 = 0 x = [?]
1 answer:
Answer:
x = - 6
Step-by-step explanation:
x² + 12x + 36 = 0 ( subtract 36 from both sides )
x² + 12x = - 36
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = - 36 + 36
(x + 6)² = 0 ( take square root of both sides )
x + 6 = 
= 0 ( subtract 6 from both sides )
x = - 6
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