`If x^(2) - 2x + 1 = 0 "then" x + 1/x =`

The common roots of the equation x^(3) + 2x^(2) + 2x + 1 = 0 and 1+ x^(2008)+ x^(2003) = 0 are (where omega is a complex cube root of unity)

The common roots of the equation x^(3) + 2x^(2) + 2x + 1 = 0 and 1+ x^(2008)+ x^(2003) = 0 are (where omega is a complex cube root of unity)

If A, B, C, D are the sum of the square of the roots of 2x^(2) + x- 3=0, x^(2)-x+2= 0, 3x^(2) - 2x +1=0, x^(2)- x+1=0 then the ascending order of A, B, C, D is

If x^(2)-2x+1=0 then find (i)x^(3)+(1)/(x^(3))(ii)x^(4)+(1)/(x^(4))(iii)x^(2)-(1)/(x^(2))(iv)x^(2)+(1)/(x^(2))

For the quadratic equation x^2-2x+1=0 the value of x+1/x is a)1 b)-1 c)2 d)-2

Show that sec^-1 (1/(2x^2-1)) = 2 cos^-1 x, 0 le x le 1, x ne = 1/2

if A,B,C,D are the sum of the roots of the roots of 2x ^2 +x +3=0 , x^2 -x+2=0, 3x ^2 - 2x +1 =0 , x^2 -x-x+1=0 then the ascendinf order of A,B,C,D is