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Find two consecutive odd integers such that the square of the larger is one less than twice the square of the smaller.

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  1. 5 and 7

    Check -- do those numbers work?

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    Ms. Sue
  2. (n+2)^2 = 2n^2 - 1

    You might think that it would be possible for n to be even, but since the right side must be odd, so must n^2 be odd, and thus any solutions you find will be odd.

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  3. Find two consecutive even integers such that the sum of the larger and twice the smaller is 124.

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