I was asked if it is possible to solve this question with the complex exponential:

I can see how this is solved by expanding out, but is there an easier or more systematic way to go about these problems?

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- Oct 28th 2009, 08:37 PMJMLRoot of complex polynomial
I was asked if it is possible to solve this question with the complex exponential:

I can see how this is solved by expanding out, but is there an easier or more systematic way to go about these problems? - Oct 28th 2009, 08:59 PMBruno J.
Well it is

Taking fifth roots on both sides, we have

where is any fifth root of unity. Thus

or .