Question

|5x+2|=8ПОМОГИТЕ ПЖ​

Answer 1

Ответ:

x₁=-2, x₂=6/5

Пошаговое объяснение:

5x+2=8
5x+2=-8
x=6/5
x=-2

Answer 2

To solve the equation |5x + 2| = 8, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative. Let's solve it step by step.

Case 1: 5x + 2 is positive

In this case, the equation becomes 5x + 2 = 8. To solve for x, we can follow these steps:

1. Subtract 2 from both sides of the equation: 5x + 2 - 2 = 8 - 2 5x = 6

2. Divide both sides of the equation by 5: (5x)/5 = 6/5 x = 6/5

So, when 5x + 2 is positive, the solution is x = 6/5.

Case 2: 5x + 2 is negative

In this case, the equation becomes -(5x + 2) = 8. To solve for x, we can follow these steps:

1. Distribute the negative sign to the expression inside the parentheses: -5x - 2 = 8

2. Add 2 to both sides of the equation: -5x - 2 + 2 = 8 + 2 -5x = 10

3. Divide both sides of the equation by -5: (-5x)/-5 = 10/-5 x = -2

So, when 5x + 2 is negative, the solution is x = -2.

Therefore, the equation |5x + 2| = 8 has two solutions: x = 6/5 and x = -2.

Please let me know if you need any further assistance!