Question

|4-2x|+5=5 помогите пожалуйста ​

Answer 1

Ответ:

плиз лучший ответ, очень надо

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

Solving the Equation |4-2x|+5=5

To solve the equation |4-2x|+5=5, we can follow these steps:

1. Isolate the Absolute Value Expression: - Subtract 5 from both sides of the equation to isolate the absolute value expression.

2. Solve for the Absolute Value Expression: - Once the absolute value expression is isolated, we can solve for both the positive and negative cases.

3. Check for Extraneous Solutions: - After obtaining potential solutions, it's important to check for extraneous solutions by plugging them back into the original equation.

Let's proceed with solving the equation step by step.

Step 1: Isolate the Absolute Value Expression

Subtract 5 from both sides of the equation: |4-2x| = 0

Step 2: Solve for the Absolute Value Expression

Now, we have two cases to consider: 1. 4-2x = 0 2. -(4-2x) = 0

Solving each case: 1. 4-2x = 0 - Subtract 4 from both sides: -2x = -4 - Divide by -2: x = 2

2. -(4-2x) = 0 - Distribute the negative sign: -4 + 2x = 0 - Add 4 to both sides: 2x = 4 - Divide by 2: x = 2

So, the equation |4-2x|+5=5 has one solution: x = 2.

Step 3: Check for Extraneous Solutions

Plugging x = 2 back into the original equation: |4-2(2)|+5 = 5 |4-4|+5 = 5 |0|+5 = 5 0+5 = 5 5 = 5

The equation holds true for x = 2, so there are no extraneous solutions.

Therefore, the solution to the equation |4-2x|+5=5 is x = 2.