Which of the following values of x makes the equation 2x−−√+13=27

Question

true?(1 point)
Responses

49
49

25
25

9
9

16

Answer 1

To solve the equation \( \sqrt{2x} + 13 = 27 \), we can follow these steps:

1. Subtract 13 from both sides: \[ \sqrt{2x} = 27 - 13 \] \[ \sqrt{2x} = 14 \]

2. Square both sides to eliminate the square root: \[ 2x = 14^2 \] \[ 2x = 196 \]

3. Divide both sides by 2: \[ x = \frac{196}{2} \] \[ x = 98 \]

Now, let's check the provided options: 49, 25, 9, and 16. None of these values equals 98, which means none of these options make the equation true.

If you meant to ask for a different equation or different values, please clarify, but based on the information given, none of the provided options are correct.