Question

Which value of x makes the equation x−−√+2=7 true: 20, 25, or 30?(1 point)

Answer 1

To solve the equation \(\sqrt{x} + 2 = 7\), we first isolate the square root:

\[
\sqrt{x} = 7 - 2
\]
\[
\sqrt{x} = 5
\]

Next, we square both sides to eliminate the square root:

\[
x = 5^2
\]
\[
x = 25
\]

Now, let's check the possible values provided (20, 25, or 30):

- For \(x = 20\):
\(\sqrt{20} + 2 \approx 4.47 + 2 \approx 6.47\) (not equal to 7)

- For \(x = 25\):
\(\sqrt{25} + 2 = 5 + 2 = 7\) (this is correct)

- For \(x = 30\):
\(\sqrt{30} + 2 \approx 5.48 + 2 \approx 7.48\) (not equal to 7)

Therefore, the value of \(x\) that makes the equation true is \( \boxed{25} \).