Math Olympiad| can you find all values of k|Algebra

[@RyanLewis-Johnson-wq6xs]

It’s in my head.

[@RyanLewis-Johnson-wq6xs]

K^6=3^6=729 K=±3 K=(±3±3Sqrt[3]i)/2=±1.5±1.5Sqrt[3]i

[@ajabkhan9320]

Correction k=3

[@RyanLewis-Johnson-wq6xs]

Excellent job correcting people. You’re the new teacher now.

[@RyanLewis-Johnson-wq6xs]

You can find 5 more solutions though.

[@ajabkhan9320]

K=6

[@RyanLewis-Johnson-wq6xs]

This is wrong.