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Algebra

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I am not sure what this question is asking. Please help.
Find two consective postitve intergers such that the sum of their squares is 85.

  • Algebra -

    n^2 + (n+1)^2 = 85

  • Algebra -

    That equation can be rewritten
    2 n^2 + 2n +1 = 85
    or
    n^2 + n - 42 = 0
    This can be factored to obtain 2 solutions. Only one of them is a postive integer. That will be the lowest of the two numbers you want.

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