Question

Pls I need the solution of ques 17

Answer 1

HERE ALPHA is 13 th root of unity

as sum of all 13 roots of unity is zero

so 1+ alpha+ 1/alpha+...........=0
alpha+ 1/alpha....= -1

AS PRODUCT OF ROOTS = 1 BECAUSE ALPHA.ALPHA^-1. ALPHA^2.ALPHA^-2.......
ADD POWERS IT WILL BE ZERO

SO , QUADRATIC EQUATION = x.x -( sum of zeroes) x + product of zeroes

= x.x +x +1