Question

\x-8/-6=17 решить модуль

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ:

х=31;-15

Пошаговое объяснение:

|х-8|=17+6

|х-8|=23

х-8=23

х=23+8

х=31

х-8=-23

х=-23+8

х=-15

Answer 3

To solve the equation involving a modulus, we need to isolate the modulus expression and consider two cases: when the expression inside the modulus is positive and when it is negative. Let's solve the equation step by step:

Given equation: |x - 8| / -6 = 17

Case 1: (x - 8) is positive (x - 8 ≥ 0) In this case, we can remove the modulus sign and rewrite the equation as follows:

(x - 8) / -6 = 17

Multiply both sides of the equation by -6 to isolate x:

(x - 8) = -6 * 17 x - 8 = -102

Add 8 to both sides of the equation:

x = -102 + 8 x = -94

So one solution is x = -94.

Case 2: (x - 8) is negative (x - 8 < 0) In this case, the modulus expression changes the sign, so we must negate the entire equation. We rewrite the equation as follows:

-(x - 8) / -6 = 17

Simplify the equation:

(x - 8) / -6 = 17

Multiply both sides by -6:

(x - 8) = -6 * 17 x - 8 = -102

Add 8 to both sides of the equation:

x = -102 + 8 x = -94

So another solution is x = -94.

Therefore, the equation |x - 8| / -6 = 17 has two solutions: x = -94.