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18 September, 14:32

The difference of the squares of two positive consecutive even integers is 7676. find the integers. use the fact that, if x represents an even integer, then xplus+2 represents the next consecutive even integer.

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  1. 18 September, 14:53
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    Equation is (x+2) ^2 - x^2 = 7676

    solve the equation by first opening the bracket of (x+2) ^2 by A^2 + 2AB + C^2

    you'll end up with 4x + 4 = 7672

    thus x = 1918 and the next number is 1920.
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