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

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 +

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) (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"

Simplify.
Rationalize the denominator by multiplying the second term by

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