Question

Use the geometric mean to find x. Round your answer to the nearest tenth. X=4.2
X6 and 3

Answer 1

To find the value of \( x \) using the geometric mean, we can interpret your request in the context of finding the geometric mean of the numbers you have provided. If we have two numbers \( a \) and \( b \), the geometric mean \( x \) can be calculated using the formula:

\[
x = \sqrt{a \cdot b}
\]

From your message, it seems you provided two values, possibly intended as \( 4.2 \) and \( 3 \). I'm going to assume these are the values you want to calculate the geometric mean for.

1. **Calculate the geometric mean of 4.2 and 3**:

\[
x = \sqrt{4.2 \cdot 3}
\]

2. **Calculate the product**:

\[
4.2 \cdot 3 = 12.6
\]

3. **Calculate the square root**:

\[
x = \sqrt{12.6} \approx 3.55
\]

4. **Round to the nearest tenth**:

When rounded to the nearest tenth, \( 3.55 \) becomes \( 3.6 \).

So, the geometric mean \( x \) rounded to the nearest tenth is **3.6**.