Question
Which value of x makes the equation x−−√+2=7
true: 20, 25, or 30?(1 point)
x=
true: 20, 25, or 30?(1 point)
x=
Answers
GPT-4o mini
To solve the equation \( \sqrt{x} + 2 = 7 \), we can follow these steps:
1. Subtract 2 from both sides:
\[
\sqrt{x} = 7 - 2
\]
\[
\sqrt{x} = 5
\]
2. Square both sides to eliminate the square root:
\[
x = 5^2
\]
\[
x = 25
\]
Now, let's check if \( x = 25 \) is one of the options given (20, 25, or 30).
Since \( x = 25 \), it is indeed an option.
Therefore, the value of \( x \) that makes the equation true is:
\[
\boxed{25}
\]
1. Subtract 2 from both sides:
\[
\sqrt{x} = 7 - 2
\]
\[
\sqrt{x} = 5
\]
2. Square both sides to eliminate the square root:
\[
x = 5^2
\]
\[
x = 25
\]
Now, let's check if \( x = 25 \) is one of the options given (20, 25, or 30).
Since \( x = 25 \), it is indeed an option.
Therefore, the value of \( x \) that makes the equation true is:
\[
\boxed{25}
\]