maths Maths Puzzle

Two similar triangles with integral sides have two of their sides the same. If the third sides differ by 20141, find all of the sides.

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maths Other Question

Find all pairs of positive integers, x, y, such that x2 + 3y and y2 + 3x are both perfect squares. Find all 8-digit natural numbers n such that n2 ends in the same 8 digits as n. Numbers are written in standard decimal notation, with no leading zeroes.