Which of the following values of x makes the equation 2x−−√+13=27
true?(1 point)
Responses
49
49
25
25
9
9
16
true?(1 point)
Responses
49
49
25
25
9
9
16
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.
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.
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