SOLUTION: 3x² -9x-6=0

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Question 1086283: 3x² -9x-6=0
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
3x² -9x-6=0
3x%5E2+-9x-6=0
x%5E2-3x-2=0
discriminant 9%2B4%2A2=17

system%28x=%283-sqrt%2817%29%29%2F2%2Cor%2Cx=%283%2Bsqrt%2817%29%29%2F2%29

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2+-9x-6=0.......simplify, each term divide by 3
x%5E2+-3x-2=0....use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A1%2A%28-2%29+%29%29%2F%282%2A1%29+
x+=+%283+%2B-+sqrt%28+9%2B8+%29%29%2F2+
x+=+%283+%2B-+sqrt%28+17+%29%29%2F2+
solutions:
x+=+%283+%2B+sqrt%28+17+%29%29%2F2+ -> approximately 3.6
or
x+=+%283+-+sqrt%28+17+%29%29%2F2+ -> approximately -0.6