Question

Найдите корень уравнения | x | = x + 1

Answer 1

Ответ в приложении (&/$#@#/[email protected]@

Answer 2

Solving the Equation |x| = x + 1

To solve the equation |x| = x + 1, we can consider two cases: when x is positive and when x is negative.

Case 1: x is positive When x is positive, the equation simplifies to x = x + 1. This leads to an inconsistency, as no value of x can satisfy this equation.

Case 2: x is negative When x is negative, the equation becomes -x = x + 1. Solving for x in this case gives us: -x = x + 1 2x = -1 x = -1/2

Therefore, the solution to the equation |x| = x + 1 is x = -1/2.

This solution is consistent with the search results, which also indicate that x = -1/2 is a solution to the given equation