Question

Make m the subject of the formula. r=5m^2-n​

Answer 1

Explanation:

r = 5m² - n

Add n to both sides

r + n = 5m² - n +n

r + n = 5m²

Divide both sides by 5

(r+n)/5 = 5m²/5

(r + n)/5 = m²

Take square root ,

`\sqrt{(r + n)/(5)} =\sqrt{m^(2)} \\\\\sqrt{(r + n)/(5)}=m\\\\\\m=\sqrt{(r + n)/(5)}`

Answer 2

The answer is

`m = \sqrt{ (r + n)/(5) }`

Explanation:

`r = 5 {m}^(2) - n`

To make m the subject send n to the left side of the equation

That's

`{5m}^(2) = r + n`

Divide both sides by 5

We have

`\frac{ {5m}^(2) }{5} = (r + n)/(5)`

`{m}^(2) = (r + n)/(5)`

Find the square root of both sides to make m stand alone

That's

`\sqrt{ {m}^(2) } = \sqrt{ (r + n)/(5) }`

We have the final answer as

`m = \sqrt{ (r + n)/(5) }`

Hope this helps you