SOLUTION: Solve by completing the square: x2 + 8x + 13 = 0 Show in steps please

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Question 28483: Solve by completing the square:

x2 + 8x + 13 = 0

Show in steps please

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Solve by completing the square:
x%5E2%2B8x%2B13 Subtract 13 from both sides of the equation.
x%5E2%2B8x+=+-13 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+=+3 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%2Bsqrt%283%29 or x+=+-4-sqrt%283%29