if r belongs integer and r is a non zerosolution of x^2+ax+b=0 (where a,b belongs to integers), prove that r|b.
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Originally Posted by Deepu if r belongs integer and r is a non zerosolution of x^2+ax+b=0 (where a,b belongs to integers), prove that r|b. We are told that Now what can you say? Spoiler: Since , we have that , so that divides the left side of the equation. But this means it must also divide the right side. Hence,
Originally Posted by Jhevon We are told that Now what can you say? Spoiler: Since , we have that , so that divides the left side of the equation. But this means it must also divide the right side. Hence, Thank you..
Originally Posted by Deepu Thank you.. the conclusion follows even more immediately if you recall that
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