Question

Решите уравнение |х-6| = 2 Только постарайтесь придельно понятно

Answer 1

|х-6|=2,
х-6=2,       х-6=-2,
х=2+6,      х=-2+6,
х=8.          х=4.
Ответ: 4; 8.

Answer 2

Solving the Equation |x-6| = 2

To solve the equation |x-6| = 2, we need to consider two cases: when (x-6) is positive and when (x-6) is negative.

1. When (x-6) is positive: - In this case, the equation becomes: x-6 = 2 - Solving for x, we get: x = 2 + 6 - Therefore, when (x-6) is positive, x = 8.

2. When (x-6) is negative: - In this case, the equation becomes: -(x-6) = 2 - Solving for x, we get: -x + 6 = 2 - Rearranging the equation, we get: -x = 2 - 6 - Further simplifying, we get: -x = -4 - Multiplying both sides by -1, we get: x = 4 - Therefore, when (x-6) is negative, x = 4.

So, the solutions to the equation |x-6| = 2 are x = 8 and x = 4.