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

I can’t write the question do I just took a pic-example-1

1 Answer

3 votes

Answer:

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)

User Amatkivskiy
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