The sum of squares of two numbers is 80 and the square of their difference is 36. The product of the two numbers is?

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Accepted Answer

Let the number be a and b. Then, a2 + b2 = 80 and (a - b)2= 36 ⇒ a2 + b2 - 2ab = 36 ⇒ 2ab = (a2 + b2)-36 = 80 - 36= 44 ∴ Product = ab = 2…

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