Question

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