SOLUTION: Solve this problem by completing the square show your work: 3x^2 - 12x + 11 = 0 This is what I have done: 3(x^2 - 4x + 4) = -11 3(x^2 - 4x + 4) = -11 + 12 3(x^2 - 4x +

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve this problem by completing the square show your work: 3x^2 - 12x + 11 = 0 This is what I have done: 3(x^2 - 4x + 4) = -11 3(x^2 - 4x + 4) = -11 + 12 3(x^2 - 4x +       Log On


   

Question 543688: Solve this problem by completing the square show your work: 3x^2 - 12x + 11 = 0
This is what I have done:
3(x^2 - 4x + 4) = -11
3(x^2 - 4x + 4) = -11 + 12
3(x^2 - 4x + 4) = 1
(x^2 - 4x + 4) = 1/3
(x - 2)^2 = 1/3
(x - 2) = (1/3)^1/2
x = 2 +- (1/3)^1/2
But the answer in the back oh my book reads x = 2 +- (square root of 3) / 3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You have the correct answer but it needs one more step to simplify it further"
x+=+2%2B-sqrt%281%2F3%29
Simplify.
x+=+2%2B-sqrt%281%29%2Fsqrt%283%29 Rationalize the denominator by multiplying the second term by sqrt%283%29%2Fsqrt%283%29
x+=+2%2B-sqrt%283%29%2F3