Which of the following values of x makes the equation 2x−−√+13=27 true?(1 point)

Question

Responses

16
16

49
49

9
9

25

Answer 1

To solve the equation \( \sqrt{2x} + 13 = 27 \), 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 to solve for \( x \): \[ x = \frac{196}{2} \] \[ x = 98 \]

Now, let's check the options you provided: 16, 49, 9, and 25. None of these values equal 98. Therefore, none of the given options satisfy the equation \( \sqrt{2x} + 13 = 27 \).

If you have a specific value that you want me to check, feel free to ask!