SOLUTION: Please help me to solve this equation {{{x^2 + 2x + 6 = 0}}} What is x?

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Question 66686: Please help me to solve this equation x%5E2+%2B+2x+%2B+6+=+0 What is x?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
x%5E2%2B2x%2B6+=+0 Since this will not factor, solve by using the quadratic formula: x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a where a, and b are the coefficients of x%5E2 and x resepctively, and c is the constant term.
In this problem, a = 1, b = 2, and c = 6.
x+=+%28-2%2B-sqrt%282%5E2-4%281%29%286%29%29%29%2F2%281%29 Simplify this.
x+=+%28-2%2B-sqrt%284-24%29%29%2F2
x+=+%28-2%2B-sqrt%28-20%29%29%2F2 You can write sqrt%28-20%29 as sqrt%284%28-5%29%29+=+2sqrt%28-5%29
The solutions are:
x1+=+-1%2Bsqrt%28-5%29
x2+=+-1-sqrt%28-5%29