Question

Given q = √(5p²-1)²-2 find p in terms of q.​

Answer 1

`\sf p =\sqrt{(q+3)/(5)}`

Explanation:

To find p in terms of q, we have to isolate p.

`\sf √((5p^2 - 1)^2)-2 = q\\\\`

5p² - 1 - 2 = q

5p² - 3 = q

Add 3 to both sides,

5p² = q + 3

Divide both sides by 5,

`\sf p^2 = (q+3)/(5)\\\\\text{Take square root,}\\\\p =\sqrt{(q+3)/(5)}`