Let and be the roots of the quadratic equation , where m is an odd integer. Let , for . Prove that for ,

(a) is an integer; and

(b) gcd .

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- October 24th 2008, 12:44 AMalexmahoneRoots of a quadratic
Let and be the roots of the quadratic equation , where m is an odd integer. Let , for . Prove that for ,

(a) is an integer; and

(b) gcd . - October 24th 2008, 08:46 AMHallsofIvy