perplexus.info :: Just Math : Power and Inverse Power Sum

Power and Inverse Power Sum (Posted on 2024-08-13)

If x+x^-1=1, then find the value of:
(x+1)² + (x+1)^-2

No Solution Yet Submitted by K Sengupta

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re: I think it's ...

| Comment 3 of 4 |

(In reply to I think it's ... by Larry)

The conjugate of your answer is exactly what you would get if you chose the other root.

So there are two possible answers 5/3 + (4/3)√3 i or 5/3 - (4/3)√3 i

Posted by Brian Smith on 2024-08-14 10:41:59

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