Question

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

Answer 1

Answer:

Step-by-step 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 ,

$\sqrt{\frac{r + n}{5}} =\sqrt{m^{2}} \\\\\sqrt{\frac{r + n}{5}}=m\\\\\\m=\sqrt{\frac{r + n}{5}}$

Answer 2

Answer:

The answer is

$m = \sqrt{ \frac{r + n}{5} }$

Step-by-step 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

$\frac{ {5m}^{2} }{5} = \frac{r + n}{5}$

${m}^{2} = \frac{r + n}{5}$

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

That's

$\sqrt{ {m}^{2} } = \sqrt{ \frac{r + n}{5} }$

We have the final answer as

$m = \sqrt{ \frac{r + n}{5} }$

Hope this helps you