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

Solve for x : (x - 1)/(2x + 1) + (2x + 1)/(x -1) = 2 , where x ne - (1)/(2) , 1

If x^(2) + x + 1 =0 , then the value of (x + (1)/(x))^(2) + (x^(2) + (1)/(x^(2)))^(2) + … + (x^(27) + (1)/(x^(27)))^(2) is

If y = x^2 + 1/(x^2 + 1/(x^2 + 1/(x^2 +....oo))) , then (dy)/(dx) is

If x+(1)/(x)=3, then find x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

If : x = tan25^(@), "then": (tan 155^(@) - tan 115^(@))/(1 + tan 155^(@) * tan 115^(@))= A) (1-x^(2))/(2x) B) (1+x^(2))/(2x) C) (1+x^(2))/(1-x^(2)) D) (1-x^(2))/(1+x^(2))

If x=2-sqrt(3) , then the values of x^(2)+(1)/(x^(2)) and x^(2)-(1)/(x^(2)) respectively are