Question

13
4
Use the geometric mean to solve for the value of x. Round your answer to the nearest tenth.

(1 point)
x=

Answer 1

To solve for \( x \) using the geometric mean, we start by understanding that the geometric mean of two numbers \( a \) and \( b \) is given by the formula:

\[
\text{Geometric Mean} = \sqrt{a \cdot b}
\]

In your question, it seems you have provided two numbers: 13 and 4. Therefore, we will calculate the geometric mean of these two numbers and set it equal to \( x \).

1. Calculate the geometric mean of 13 and 4:

\[
\text{Geometric Mean} = \sqrt{13 \cdot 4} = \sqrt{52}
\]

2. Now we need to calculate \( \sqrt{52} \):

\[
\sqrt{52} \approx 7.211
\]

3. Finally, round \( 7.211 \) to the nearest tenth:

\[
7.2
\]

Thus, \( x \approx 7.2 \).

So, the value of \( x \) is:

\[
\boxed{7.2}
\]