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

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) (Show Source): You can put this solution on YOUR website!
Here is the original equation:

We have to solve by the quadratic

a = 1, b = 6 and c =-3.

we get x ~ .4641 and x ~ -6.4641
Answer by richwmiller(17219) (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)

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