SOLUTION: What is the solution of the quadratic equation..x square+6x-3=0

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Question 252957: What is the solution of the quadratic equation..x square+6x-3=0
Found 2 solutions by drk, richwmiller:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is the original equation:
x%5E2%2B6x-3=0
We have to solve by the quadratic
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a = 1, b = 6 and c =-3.
x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A%281%29%29+
we get x ~ .4641 and x ~ -6.4641

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Besides the quadratic formula we can complete the square
x^2+6x-3=0
x^2+6x=3
take half of 6
6/2=3
and square it
3^2=9
add 9 to both sides
x^2+6x+9=12
(x+3)^2=12
x+3=+\-sqrt(12)
x=-3+sqrt(12)
x=-3-sqrt(12)
x=-3+2sqrt(3)
x=-3-2sqrt(3)