SOLUTION: Solve by completing the square. x^2 + 6x + 2 = 0

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Question 144288: Solve by completing the square.
x^2 + 6x + 2 = 0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by completing the square:
x%5E2%2B6x%2B2+=+0 First, subtract 2 from both sides.
x%5E2%2B6x+=+-2 Now complete the square in x by adding the square of half the x-coefficient (%286%2F2%29%5E2+=+9) to both sides of the equation.
x%5E2%2B6x%2B9+=+-2%2B9 Simplify. Factor the left side.
%28x%2B3%29%28x%2B3%29+=+7
%28x%2B3%29%5E2+=+7 Now take the square root of both sides.
x%2B3+=+sqrt%287%29 or x%2B3+=+-sqrt%287%29 Finally, subtract 3.
x+=+-3%2Bsqrt%287%29 or x+=+-3-sqrt%287%29