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(i) If alpha,beta be the imaginary cube ...

(i) If `alpha`,`beta` be the imaginary cube root of unity, then show that `alpha^4+beta^4+alpha^-1beta^-1=0`

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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
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  2. (2+omega+omega^2)^3+(1+omega-omega^2)^3=(1-3omega+omega^2)^4=1

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  3. (i) If alpha,beta be the imaginary cube root of unity, then show that ...

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  4. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  11. value of the series a(0)-a(2) + a(4)-a(6) +….. is

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  16. If 1,a1,a2,a3,…,a(n-1) are the nth roots of unity then prove that : 1+...

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  18. If alpha (!=1) is a nth root of unity then S = 1 + 3alpha+ 5alpha^2 + ...

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