Question

A2 +b2 = 177 and ab =54 then tha value of a+b/a-b

Answer 1

As givne\\ a 2 +b 2 =117 and ab=54

(a+b) 2 =a 2+b 2 +2ab

⇒(a+b) ^2 =117+108=225

⇒a+b=15

(a−b) ^2 =a ^2+b ^2 −2ab

⇒(a−b) 2 =117−108=9

⇒a−b=3

∴ a−b/a+b = 3/15 =5