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.