Question

I can’t write the question do I just took a pic

Answer 1

x =
`(1+4y^2)/(y^2-1)`

Explanation:

Given

y =
`\sqrt{(x+1)/(x-4) }` ( square both sides to clear the radical )

y² =
`(x+1)/(x-4)` ( multiply both sides by (x - 4) )

y²(x - 4) = x + 1 ← distribute parenthesis on left side )

xy² - 4y² = x + 1 ( add 4y² to both sides )

xy² = x + 1 + 4y² ( subtract x from both sides )

xy² - x = 1 + 4y² ( factor out x from each term on the left side )

x(y² - 1) = 1 + 4y² ← divide both sides by (y² - 1)

x =
`(1+4y^2)/(y^2-1)`