Question

1)|X-4|= 15;2)|x-7| = 20;3) |2x-8|= 30;​

Answer 1

Ответ:

у каждого выражения 2 корня:

Пошаговое объяснение:

1) -11 ; 19

2) -13 ; 27

3) -11 ; 19

Answer 2

To solve each of these absolute value equations, you'll need to consider two cases for each equation: one where the expression inside the absolute value is positive, and another where it is negative. Then, you can solve for the variable in each case.

1. |X-4| = 15: Case 1: X - 4 = 15 X = 15 + 4 X = 19

Case 2: -(X - 4) = 15 -X + 4 = 15 -X = 15 - 4 -X = 11 Now, multiply both sides by -1 to isolate X: X = -11

So, for equation 1, the solutions are X = 19 and X = -11.

2. |X-7| = 20: Case 1: X - 7 = 20 X = 20 + 7 X = 27

Case 2: -(X - 7) = 20 -X + 7 = 20 -X = 20 - 7 -X = 13 Now, multiply both sides by -1 to isolate X: X = -13

So, for equation 2, the solutions are X = 27 and X = -13.

3. |2X-8| = 30: Case 1: 2X - 8 = 30 2X = 30 + 8 2X = 38 Now, divide both sides by 2 to isolate X: X = 38 / 2 X = 19

Case 2: -(2X - 8) = 30 -2X + 8 = 30 -2X = 30 - 8 -2X = 22 Now, divide both sides by -2 to isolate X: X = 22 / -2 X = -11

So, for equation 3, the solutions are X = 19 and X = -11.