If a2 – b2 = 11 × 9 and a & b are positive integers (a>b) then
Using the identity x2 – y2 = (x + y)(x – y)
⇒ (a + b)(a – b) = 11 × 9
Since 11 is a prime number therefore the factors can be equated,
⇒ a + b = 11
And a – b = 9
On solving above two equations we get,
a = 10 and b = 1
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