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If alpha ia ROOT OF x^2+x+1= 0 then sho...

If `alpha` ia ROOT OF `x^2+x+1`= 0 then show that `alpha` is also a root of `x^(3p)+x^(3q+1)+x^(3r+2)` = 0. where p,q,r are integers.

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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
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  13. Let A(z1) and (z2) represent two complex numbers on the complex plan...

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