Question

Решить пример модуль х-2=3

Answer 1

$x-2=3 \\ x=3+2 \\ \boxed{x=5}$

Answer 2

Problem Statement

You are given the equation |x-2| = 3. You need to solve this equation for x.

Solution

To solve the equation |x-2| = 3, we need to consider two cases: when x-2 is positive and when x-2 is negative.

Case 1: x-2 is positive In this case, we have x-2 = 3. Solving for x, we get: x = 3 + 2 = 5

Case 2: x-2 is negative In this case, we have -(x-2) = 3. Solving for x, we get: -x + 2 = 3 -x = 3 - 2 -x = 1 x = -1

Therefore, the solutions to the equation |x-2| = 3 are x = 5 and x = -1.

Answer: x = 5, -1.