SOLUTION: 3x^2-6x-2=0 can you please help me answer this problem, i tried completing the square and the quadratic formula but i cant get the answer Thanks David

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 3x^2-6x-2=0 can you please help me answer this problem, i tried completing the square and the quadratic formula but i cant get the answer Thanks David      Log On


   

Question 284863: 3x^2-6x-2=0 can you please help me answer this problem, i tried completing the square and the quadratic formula but i cant get the answer
Thanks David
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Completing the square.
3x%5E2-6x-2=0
x%5E2-2x-%282%2F3%29=0
Take (1/2) of the x coefficient, square it, add it to both sides.
%28x%5E2-2x%2B1%29-%282%2F3%29=1
%28x-1%29%5E2-%282%2F3%29=1
%28x-1%29%5E2=1%2B2%2F3=3%2F3%2B2%2F3=5%2F3
Take the square root of both sides.
%28x-1%29=0+%2B-+sqrt%285%2F3%29
x=1+%2B-+sqrt%285%2F3%29
x=1+%2B-+sqrt%2815%29%2F3%29
.
.
.
Quadratic formula.
a=3
b=-6
c=-2
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%286+%2B-+sqrt%28+%28-6%29%5E2-4%2A3%2A%28-2%29+%29%29%2F%282%2A3%29+
x+=+%286+%2B-+sqrt%28+36%2B24+%29%29%2F%286%29+
x+=+%286+%2B-+sqrt%2860%29%29%2F%286%29+
x+=+%286+%2B-+sqrt%284%2A15%29%29%2F%286%29+
x+=+%286+%2B-+2%2Asqrt%2815%29%29%2F%286%29+
x+=+1+%2B-+sqrt%2815%29%2F3+