Question

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