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

Question

true?(1 point)
Responses

16
16

9
9

25
25

49

Answer 1

To solve the equation \( \sqrt{2x} + 13 = 27 \), we will first isolate the square root term.

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. Now, divide by 2 to solve for \( x \): \[ x = \frac{196}{2} \] \[ x = 98 \]

Now, let’s check the provided options: 16, 9, 25, and 49. None of these values equal 98, so none of the provided options make the equation true.

Thus, the answer to "Which of the following values of x makes the equation true?" is none of the given options.