Question

if 5a^2–3b^2=(11/2)ab.....find the value of a:b...​

Answer 1

Answer:

If (a+b):(a−b)=5:3 , then what will (a2+b2):(a2−b2) equal?

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You are asking (a+b):(a−b)=5:3, then find the value of (a2+b2):(a2−b2)

a+ba−b=53

Applying componendo & dividendo

a+b+a−ba+b−a+b=5+35−3

2a2b=82

ab=41

Finding a2b2

(ab)2=(41)2

a2b2=161

Applying componendo & dividendo

a2+b2a2−b2=16+116−1

a2+b2a2−b2 =1715

17:15