Question

Rewrite the formula to find A and H. (G is the geometric mean, A is the arithmetic mean, and H is the harmonic mean.)

Answer 1

This is the answer for your question
A=G^2/H
H=G^2/A

Answer 2

Answer:

The formula for A is $A=\frac{G^2}{H}$

The formula for H is $H=\frac{G^2}{A}$

Step-by-step explanation:

Consider the provided information.

We need to rewrite the formula to A and H.

The geometric mean formula is $G= \sqrt{AH}$

Where, G is the geometric mean, A is the arithmetic mean, and H is the harmonic mean.

Now we need to rewrite the formula for A and H.

Solve for A.

$G= \sqrt{AH}$

Squaring both sides.

$G^2= AH$

Divide both the sides by H.

$A=\frac{G^2}{H}$

Hence, the formula for A is $A=\frac{G^2}{H}$

Solve for H.

$G= \sqrt{AH}$

Squaring both sides.

$G^2= AH$

Divide both the sides by A.

$H=\frac{G^2}{A}$

Hence, the formula for H is $H=\frac{G^2}{A}$