perplexus.info :: Just Math : High powers involved

High powers involved (Posted on 2023-05-09)

Solve: 89x¹² - 144x¹¹ = 1

No Solution Yet Submitted by Ady TZIDON

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Puzzle Thoughts Comment 6 of 6 |

x^2-x-1 is a factor of 89x^12 - 144x^11 -1=0 .
So, the required real solutions are the solutions to x^2-x-1=0, which are given by:
Phi and -1/Phi.

Posted by K Sengupta on 2023-06-10 00:07:48

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