Question

Решите Уравнение: 1) |x| = 6; 2) |x| = -2; 3) |-x| = 6,7.

Answer 1

Ответ:

решение смотри на фотографии

Answer 2

1. |x| = 6

To solve this equation, we can consider two cases: when x is positive and when x is negative.

When x is positive: |x| = 6 x = 6

When x is negative: |x| = 6 -x = 6 x = -6

So the solutions to the equation |x| = 6 are x = 6 and x = -6.

2. |x| = -2

The absolute value of any number is always non-negative. Therefore, there are no solutions to the equation |x| = -2. The absolute value cannot be negative.

3. |-x| = 6.7

To solve this equation, we need to remove the absolute value by considering two cases: when x is positive and when x is negative.

When x is positive: |-x| = 6.7 -x = 6.7 (we take the negative value because x is positive) x = -6.7

When x is negative: |-x| = 6.7 x = 6.7 (we take the positive value because x is negative)

So the solutions to the equation |-x| = 6.7 are x = -6.7 and x = 6.7.