Tìm x:

To solve this equation, we need to consider two cases: when x - 1 is positive and when x - 1 is negative.

Case 1: x - 1 is positive
In this case, the absolute value of x - 1 is equal to x - 1. So the equation becomes:
x^2 + (x - 1) = x^2 + 2023
Simplifying, we get:
x - 1 = 2023
x = 2024

Case 2: x - 1 is negative
In this case, the absolute value of x - 1 is equal to -(x - 1). So the equation becomes:
x^2 - (x - 1) = x^2 + 2023
Simplifying, we get:
-2x + 1 = 2023
-2x = 2022
x = -1011

Therefore, the solutions to the equation are x = 2024 and x = -1011.