Question

Pls help me to find K as the subject of formula​

Answer 1

k =
`(u^2y-x)/(u^2-1)`

Explanation:

Given

u =
`\sqrt{(k-x)/(k-y) }` ( square both sides )

u² =
`(k-x)/(k-y)` ← multiply both sides by (k - y)

u²(k - y) = k - x ← distribute left side

u²k - u²y = k - x ( subtract k from both sides )

u²k - k - u²y = - x ( add u²y to both sides )

u²k - k = u²y - x ← factor out k from each term on the left side

k(u² - 1) = u²y - x ← divide both sides by (u² - 1)

k =
`(u^2y-x)/(u^2-1)`