Question

1) |x+2|=8 2) |4x-2|=22 ПОМОГИТЕ ЛЮДИ ЭТО МОДУЛИ​

Answer 1

Ответ:

$1)x1 = - 10 \\ x2 = 6 \\ 2)x1 = - 5 \\ x2 = 6$

Answer 2

Solving Equations with Absolute Value

To solve the equations |x + 2| = 8 and |4x - 2| = 22, we need to consider both the positive and negative cases for the absolute value expressions.

For the equation |x + 2| = 8: - Positive case: x + 2 = 8. Solving for x, we get x = 6. - Negative case: -(x + 2) = 8. Solving for x, we get x = -10.

For the equation |4x - 2| = 22: - Positive case: 4x - 2 = 22. Solving for x, we get x = 6. - Negative case: -(4x - 2) = 22. Solving for x, we get x = -5.

Therefore, the solutions to the equations are x = 6, -10, and -5. Please let me know if there's anything else I can help you with!