a2+ b2= 2ab হলে, a2/b2+ b2/a2এর মান কত?

a² + b² = 2ab
⇒ (a² + b²)/ab = 2
⇒ a/b + b/a = 2

অতএব,
a²/b² + b²/a²
= (a/b)² + (b/a)2 
= (a/b + b/a)² - 2.(a/b).(b/a)
= 2² - 2
= 2
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বিকল্প পদ্ধতিঃ
a² + b² = 2ab
a² + b² - 2ab = 0
(a - b)² = 0
a = b
অতএব, a²/b² + b²/a² = a²/a² + a²/a² = 1 + 1 = 2