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**Zeeshan 01****Member**- Registered: 2016-07-22
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Question: If (3x^2)-2x+4=0 , Then Find α^19 , beta^-3

M.M.Zeeshan.K

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**Alg Num Theory****Member**- Registered: 2017-11-24
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I presume *ɑ* and *β* are the roots, which are complex. Since we are going to deal with their powers, best to convert them to cos–sin form:

So the roots are

one of them is *ɑ*, the other is *β*. Since the question doesn’t say which is which, you may as well take your pick. Now use De Moivre’s theorem.

*Last edited by Alg Num Theory (2018-07-15 07:08:15)*

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