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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)

 
 Jan 13, 2019

Best Answer 

 #1
avatar+26 
+3

a2+b2=25

ab = 5

a/b + b/a = ?

 

So, getting rid of the denominator, (a/b + b/a) * ab = a2+b2

so a2+b/ ab = ?

25/5 = \(5\)

 

-\(S\)

.
 
 Jan 13, 2019
 #1
avatar+26 
+3
Best Answer

a2+b2=25

ab = 5

a/b + b/a = ?

 

So, getting rid of the denominator, (a/b + b/a) * ab = a2+b2

so a2+b/ ab = ?

25/5 = \(5\)

 

-\(S\)

 
Starz Jan 13, 2019
 #2
avatar
+1

Thank you smiley

 
Guest Jan 13, 2019

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