(3x-2)^2=2
3x-2 = sqrt2
3x= sqrt2 + 2
x = (sqrt2 + 2) / 3
Solve
(3x-2)^2=2
2 answers
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
9x2 - 12x + 4 = 2
reveals the other root: (2-√2)/3