уравнение (3x-1)² = 6x²-6x+10.

Expand the left side of the equation: (3x-1)² = 9x² - 6x + 1.

Set the expanded left side equal to the right side: 9x² - 6x + 1 = 6x² - 6x + 10.

Simplify the equation by moving all terms to one side: 3x² - 9 = 0.

Solve for x: 3x² = 9, so x² = 3, which means x = ±√3.