perplexus.info :: Just Math : Root Magnitude Proof

Root Magnitude Proof (Posted on 2025-02-08)

Prove that if 11z¹⁰ +10iz⁹ +10iz−11 = 0, then |z| = 1.

No Solution Yet Submitted by Danish Ahmed Khan

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re(3): Possible proof - question?

| Comment 4 of 6 |

I never said 1 and -1 are roots. They are not among the 20th roots of -1.

But then I took another look and compared the two plots for z^20+1 and the given equation, and they don't line up, so my hypothesis is wrong.

I'd like to ask Danish for a hint but he effectively never comments on anything here.

Posted by Brian Smith on 2025-02-09 12:11:51

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