Question

2|x-16|= 48пожалуйста помогите​

Answer 1

Ответ:

Х=48:2

Х=24

Х=24+16

Х=40

Answer 2

Solving the Equation 2|x-16| = 48

To solve the equation 2|x-16| = 48, we can follow these steps:

1. Isolate the Absolute Value Expression: - First, isolate the absolute value expression by dividing both sides of the equation by 2.

2. Split the Equation: - Then, split the equation into two separate equations, one for when the expression inside the absolute value is positive and one for when it's negative.

3. Solve for x: - Solve each equation separately to find the possible values of x.

Step-by-Step Solution

1. Isolate the Absolute Value Expression: - Divide both sides of the equation by 2 to isolate the absolute value expression: - |x-16| = 24

2. Split the Equation: - Split the equation into two separate equations: - x-16 = 24 and -(x-16) = 24

3. Solve for x: - Solve each equation separately: - For x-16 = 24, add 16 to both sides to get x = 40. - For -(x-16) = 24, distribute the negative sign and solve for x: -x + 16 = 24. Subtract 16 from both sides to get -x = 8, then multiply by -1 to get x = -8.

So, the solutions to the equation 2|x-16| = 48 are x = 40 and x = -8.

I hope this helps! If you have any further questions, feel free to ask.