SOLUTION: Solve the quadratic equation by completing the square x^2-6x-3=0 Thanks in advance.

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Question 87868: Solve the quadratic equation by completing the square
x^2-6x-3=0
Thanks in advance.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First add +3 to each side of the equation:
x^2-6x-3=0
x^2 -6x + ___ = 3+ ____

Take half of the x coefficient, -6, which is -3, and square which is 9. Add +9 to each side:
x%5E2+-6x%2B+9=+3%2B9
%28x-3%29%5E2+=+12

Square root both sides:
x-3=+0%2B-sqrt%2812%29

Add +3 to each side:
x=+3%2B-sqrt%2812%29+

Simplify the square root:
x=+3%2B-sqrt%284%29%2Asqrt%283%29+
x=+3%2B2%2Asqrt%283%29+ or x=3-2%2Asqrt%283%29+

R^2 Retired from SCC