If `x/-2=1` then the value of x+2 is

Let cos(2 tan^(-1) x)=1/2 then the value of x 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-x+1=0 then the value of sum_[n=1]^[5][x^n+1/x^n]^2 is:

If A=[(2x,0),(x,x)] and A^(-1)=[(1,0),(-1,2)] , then the value of x is

Given (1-2x+5x^2-10 x^3)(1+x)^n=1+a_1x+a_2x^2+ and that a1 ^2=2a_2 then the value of n is.

if sin x + sin^2 x = 1 , then the value of cos^2 x + cos^4x is

if sin x + sin^2 x = 1 , then the value of cos^2 x + cos^4x is

The domain of f(x) such that the f(x) = [[x + 1/2]] / [[x - 1/2]] is prime is [X_1, X_2) , then the value of 2(x_1 ^2 + x_2 ^2) Where [.] denotes greatest integer function less than or equal to x]

Let S(x)=1+x-x^(2)-x^(3)+x^(4)+x^(5)-x^(6)-x^(7)+"........+"oo , where 0ltxlt1 . If S(x)=(sqrt(2)+1)/(2) , then the value of (x+1)^(2) is

If x >1 , then write the value of sin^(-1)((2x)/(1+x^2)) in terms of tan^(-1)x