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QUESTION
Q
The sum of squares of three consecutive natural numbers is 2030, then what is the middle number ?

Solution

Let the three consecutive numbers be (A − 1), A and (A + 1)(A − 1)2 + A2 + (A + 1)2 = 20303A2 + 2 = 20303A2...

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Solution

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Keynote

(A − B)2 = A2 + B2 − 2AB(A + B)2 = A2 + B2 + 2AB

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