SOLUTION: Solve by completing the square: x^2+8x+13=0

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Question 33632: Solve by completing the square:
x^2+8x+13=0
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by completing the square:
x%5E2%2B8x%2B13+=+0First subtract 13 from both sides of the equation.
x%5E2%2B8x+=+-13 Now complete the square in the x-terms by adding the square of half the x-coefficient %288%2F2%29%5E2+=+16 to both sides.
x%5E2%2B8x%2B16+=+16-13 Factor the left side.
%28x%2B4%29%5E2+=+3 Take the square root of both sides.
x%2B4 = + or - sqrt%283%29 Finally, subtract 4 from both sides.
x+=+-4%2B-sqrt%283%29