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 .
Last edited by alexmahone; October 24th 2008 at 08:53 AM.
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Originally Posted by alexmahone 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 . If and are solutions to that equation, then . Multiplying out the left side, That tells you and . Does that help?
Last edited by HallsofIvy; October 24th 2008 at 10:18 AM.
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