Question

Make k the subject in the following equation:

m/k² = a+b

Would really appreciate step by step explanation.

Answer 1

Answer:
`k = \pm \sqrt{(m)/(a+b)}`

Work Shown:

`(m)/(k^2) = a+b\\\\m = k^2(a+b)\\\\k^2(a+b) = m\\\\k^2 = (m)/(a+b)\\\\k = \pm \sqrt{(m)/(a+b)}\\\\`

Step-by-step explanation:

In the 2nd step, I multiplied both sides by k²

Then on the 4th step, I divided both sides by (a+b) to isolate k².

To fully isolate k itself, we apply the square root to both sides. The plus or minus is there because of an example like (-3)² = 9 and (3)² = 9.