If `a=cos (2pi)/7 + i sin (2pi)/7` `,alpha =a+a^2+a^4`, `beta =a^3+a^5+a^6` then `alpha, beta` are the roots of the equation

If a= cos((2pi)/7)+isin((2pi)/7) , alpha= a+a^2+a^4 ,and beta =a^3+a^5+a^6 then alpha ,beta are the roots of the equation

IF a = cos ( (2 pi ) /(7)) + isin ((2pi)/(7)) , alpha = a + a^2+a^4 and beta = a^3+a^5+a^6 then alpha , beta are the roots of the equation

If a=cos((2 pi)/(7))+i sin((2 pi)/(7)),alpha=a+a^(2)+a^(2), and beta=a^(3)+a^(5)+a^(6) then alpha,beta are the roots of the equation

cos ((2 pi) / (7)) + i sin ((2 pi) / (7)) and alpha = w + w ^ (2) + w ^ (4) and beta = w ^ (3) + w ^ (5) + w ^ (6)