SOLUTION: x^2+4x+2=0 solve it

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Question 634899: x^2+4x+2=0
solve it

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Factoring is usually the easier way to solve these. But not everything factors, including this equation. So we will resort to the Quadratic Formula:
x+=+%28-%284%29+%2B-+sqrt%28%284%29%5E2-4%281%29%282%29%29%29%2F2%281%29
Now we simplify:
x+=+%28-%284%29+%2B-+sqrt%2816-4%281%29%282%29%29%29%2F2%281%29
x+=+%28-%284%29+%2B-+sqrt%2816-8%29%29%2F2%281%29
x+=+%28-%284%29+%2B-+sqrt%288%29%29%2F2%281%29
x+=+%28-4+%2B-+sqrt%288%29%29%2F2
x+=+%28-4+%2B-+sqrt%284%2A2%29%29%2F2
x+=+%28-4+%2B-+sqrt%284%29%2Asqrt%282%29%29%2F2
x+=+%28-4+%2B-+2%2Asqrt%282%29%29%2F2
x+=+%282%28-2+%2B-+sqrt%282%29%29%29%2F2
x+=+%28cross%282%29%28-2+%2B-+sqrt%282%29%29%29%2Fcross%282%29
x+=+-2+%2B-+sqrt%282%29
which is short for:
x+=+-2+%2B+sqrt%282%29 or x+=+-2+-+sqrt%282%29