Question

|3x-5|=-2 помогите пожалуйста!

Answer 1

Нет решений !!
модуль НЕ МОЖЕТ быть отрицательным числом)))

Answer 2

Solving the Equation |3x-5|=-2

To solve the equation |3x-5|=-2, we can start by understanding the absolute value equation and then proceed with solving it.

Absolute Value Equation: An absolute value equation is an equation that contains an absolute value expression. The absolute value of a number is its distance from 0 on the number line. For any real number x, the absolute value of x is denoted as |x| and is defined as follows: - If x ≥ 0, then |x| = x. - If x < 0, then |x| = -x.

Solving the Equation:

To solve the equation |3x-5|=-2, we can consider two cases based on the definition of absolute value.

Case 1: (3x-5) = -2 In this case, the expression inside the absolute value is already negative, so we can directly solve for x.

Case 2: (3x-5) = 2 In this case, the expression inside the absolute value is positive, so we need to negate the value to solve for x.

Let's solve the equation step by step.

Solution Steps:

1. Case 1: (3x-5) = -2 - Add 5 to both sides: 3x = 3 - Divide by 3: x = 1

2. Case 2: (3x-5) = 2 - Add 5 to both sides: 3x = 7 - Divide by 3: x = 7/3

Therefore, the solution to the equation |3x-5|=-2 is: x = 1 and x = 7/3.

This is the solution to the given absolute value equation.