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- Feb 14, 2012

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This question seems easy but I have tried many different ways to find the proof, still I couldn't get through. Could someone please walk me through this problem?

Thanks in advance.

Question:

If \(\displaystyle \alpha\) is a real root of \(\displaystyle x^5-x^3+x-2=0\), show that \(\displaystyle \alpha^6=3\)