Hello, Please help with proof. a2 + b2 = 25 a b =5, then a over b + b over a =?? I know the answer is 5 but can't find the proof..(The book says it is 5 without proof)

a^{2}+b^{2}=25

ab = 5

a/b + b/a = ?

So, getting rid of the denominator, (a/b + b/a) * ab = a^{2}+b^{2}

so a^{2}+b^{2 }/ ab = ?

25/5 = \(5\)

-\(S\)

Thank you