Solve

(3x-2)^2=2

2 answers

(3x-2)^2=2
3x-2 = sqrt2
3x= sqrt2 + 2
x = (sqrt2 + 2) / 3
By taking only the positive root, you have lost a solution. The quadratic formula, applied to

9x2 - 12x + 4 = 2

reveals the other root: (2-√2)/3
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