Question

2•|x-4|=6 помогите пожалуйста

Answer 1

Ответ:

Пошаговое объяснение:

2•|x-4|=6

|x-4| = 6:2

|x-4| = 3

x - 4 = 3

x = 3+4

x = 7

или

x - 4 = -3

x = -3+4

x = 1

ответ: 1 ; 7

Answer 2

Ответ:

2x-8=6

2x=14

x=14|:2

x=7

Answer 3

Solving the Equation |2•|x-4||=6

To solve the equation |2•|x-4||=6, we can break it down into two separate equations and solve for the values of x.

1. When 2•|x-4| = 6: - We can solve for |x-4| by dividing both sides by 2. - This gives us |x-4| = 3. - Solving for x, we get x-4 = 3 or x-4 = -3.

2. When 2•|x-4| = -6: - Since the absolute value of a number is always non-negative, this equation has no solution.

Solutions for x

1. When |x-4| = 3: - x-4 = 3 - x = 7 - x-4 = -3 - x = 1

Therefore, the solutions for the equation |2•|x-4||=6 are x = 7 and x = 1.

[[3 #]] provides a step-by-step solution for the equation |x-3|=6, which is similar to the given equation and can be used to understand the process of solving absolute value equations.