Puzzle: for first years only

Here is a puzzle for 1st years only (i.e. prize only to a 1st year student if solved correctly).

Suppose a+b=1 and a^3+b^3=1. What then is a^{17}+b^{17}? (There is a very fetching way of solving this by Gröbner bases.)

(MG)

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One Response to Puzzle: for first years only

  1. Pingback: Solution to the first-year puzzle | Degree of Freedom

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