ЯсноПонятно24

To solve this equation, we need to consider two cases: when x is greater than or equal to a, and when x is less than a.

Case 1: x ≥ a In this case, the absolute value function simplifies to x - a. So, the equation becomes: x^2 - x + 1/3 = x - a x^2 - 2x + 1/3 + a = 0

Case 2: x < a In this case, the absolute value function simplifies to -(x - a) = a - x. So, the equation becomes: x^2 - x + 1/3 = a - x x^2 + x + 1/3 - a = 0

Now, we can solve these two quadratic equations separately to find the values of x.