SOLUTION: Solve by completing the square please. 3x^2-8x+2=0

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Question 524211: Solve by completing the square please.
3x^2-8x+2=0
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2-8x%2B2=0
3x%5E2-8x%2B2=0
Divide by 3 both sides
3x%5E2%2F3-8x%2F3%2B2%2F3=0
x%5E2-8x%2F3%2B2%2F3=0
x%5E2-8x%2F3=-2%2F3
%28x%5E2-%282%29%281%29%28x%29%284%2F3%29%29=-2%2F3
Add (4/3)^2 both sides

%28x-4%2F3%29%5E2=%28-2%2F3%2B16%2F9%29
%28x-4%2F3%29%5E2=%28%28-2%2A3%29%2B16%29%2F9%29
%28x-4%2F3%29%5E2=%28%28-6%2B16%29%2F9%29
%28x-4%2F3%29%5E2=10%2F9
Take Square root both sides
sqrt%28%28x-4%2F3%29%5E2%29=sqrt%2810%2F9%29
x-4%2F3=sqrt%2810%29%2F3 or x-4%2F3=-sqrt%2810%29%2F3
x=sqrt%2810%29%2F3%2B4%2F3 or x=-sqrt%2810%29%2F3%2B4%2F3
x=%284%2Bsqrt%2810%29%29%2F3 or x=%284-sqrt%2810%29%29%2F3