SOLUTION: If xy = 2 and x^2 + y^2 = 5 , then x/y + y/x = ?

Question 252379: If xy = 2 and x^2 + y^2 = 5 , then x/y + y/x = ?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
If xy = 2 and x^2 + y^2 = 5 , then x/y + y/x = ?
.
Start with:
x^2 + y^2 = 5
Divide both sides by xy:
(x^2 + y^2)/(xy) = 5/(xy)
x^2/(xy) + y^2/(xy) = 5/(xy)
x/y + y/x = 5/(xy)
.
Finally, substitute xy with 2:
x/y + y/x = 5/(xy)
x/y + y/x = 5/2

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