[(x+(1)/(x))^(2)+(x^(2)+(1)/(x^(2)))^(2)+(x^(3)+(1)/(x^(3)))^(2)],[--(x^(27)+(1)/(x^(2)+))^(2)],[" if "x^(2)+x+1=0]

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

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 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 x^(2)+3x+1=0 then find x^(3)+(1)/(x^(3)),x^(4)+(1)/(x^(4)),x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

If x +(1)/(x) =2 , find the value of (x^2 +(1)/(x^2))(x^3 +(1)/(x^3))

IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(-1)((2x)/(1-x^(2)))=(pi)/3 then x=

(i) (2x+3) (3x-5) (ii) x(1+x)^(3) (iii) (sqrtx + 1/x) (x -1/sqrtx) (iv) (x-1/x)^(2) (v) (x^(2) + 1/x^(2))^(3) (vi) (2x^(2) +5x-1) (x-3)

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)((1-x^(2))/(1+x^(2))) +2 tan ^(-1)((2 x)/(1-x^(2)))=(pi)/(3) ( then ) x=