√6x² - 2x + 1 = √3x + 2
6x² - 2x + 1 = 3x + 2
6x² - 2x + 1 - 3x - 2 = 0
6x² - 5x - 1 = 0
6x² + x - 6x - 1 = 0
x(6x + 1) - (6x + 1) = 0
(6x + 1)(x - 1) = 0
6x + 1 = 0
6x = -1
x₁ = -1/6
x - 1 = 0
x₂ = 1
√6x² - 2x + 1 = √3x + 2
6x² - 2x + 1 = 3x + 2
6x² - 2x + 1 - 3x - 2 = 0
6x² - 5x - 1 = 0
6x² + x - 6x - 1 = 0
x(6x + 1) - (6x + 1) = 0
(6x + 1)(x - 1) = 0
6x + 1 = 0
6x = -1
x₁ = -1/6
x - 1 = 0
x₂ = 1
x₁ = -1/6
x₂ = 1