Question 89375
solve the quadratic equation by completing the square: 
3x^2 - 6x + 2 = 0
3x^2-6x = -2
x^2-2x = -2/3
(1/2 of -2 (the x coefficent) squared is 1; add it to both sides)
x^2-2x + 1 = -2/3 + 1
(x-1)^2 = -5/3
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You made an aritmetic error here:
-2/3 + 1 = -2/3 + 3/3 = 1/3 not -5/3
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Cheers,
Stan H.