SOLUTION: solve equation by completing the square 3x^2-8x=2

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Question 133290: solve equation by completing the square
3x^2-8x=2
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2-8x=2
Let's forget the 2 for the moment.
The quadratic equation of a square in this case (since the sign of the x term is negative), will be of the form
a%5E2x%5E2+-+2abx+%2B+b%5E2
a+=+sqrt%283%29
-2ab+=+-8
b+=+4%2Fsqrt%283%29 = 4sqrt%283%29%2F3
b%5E2+=+16%2F3
To complete the square:
3x%5E2-8x+%2B+16%2F3+=2%2B%2816%2F3%29
%28sqrt%283%29x+-+%284sqrt%283%29%2F3%29%29%5E2+=+22%2F3
Take the square root of both sides:
%28sqrt%283%29x+-+%284sqrt%283%29%2F3%29%29+=+sqrt%2822%2F3%29
Now solve for x.
I think that's correct :)