Question

Describe the steps you would take to solve the given literal equation for m as shown.

t= 2π √(m/k)

m= kt²/4π²

Answer 1

Divide both sides of the equation by 2pi.

Square both sides of the equation.

Use the rule to simplify a fraction to a power.

Multiply both sides of the equation by k.

Answer 2

t = 2
`\pi`
`√(m/k)`

1. Divide both sides by 2
`\pi`
--> t / 2
`\pi` =
`√(m/k)`

2. Square both sides
-->
`t^(2)` / 4
`\pi^(2)` = m / k

3. Multiply both sides by k
--> m = k
`t^(2)` / 4
`\pi ^(2)`