Find all real numbers x such that `(x-1/x)^(1/2)+(1-1/x)^(1/2)=x`

If x and y are real numbers such that (x+sqrt(1+x^(2)))(y+sqrt(1+y^(2)))=1. Then find x+y

Find all positive real numbers x, y, z such that: 2x-2y + 1/z = 1/(2014), 2y-2z + 1/x = 1/(2014), 2z-2x + 1/y = 1/(2014)

If x_(1),x_(2),x_(3) and x_(4) are positive real numbers such that x_(1)x_(2)x_(3)x_(4)=1, then the least value of (1+x_(1))(1+x_(2))(1+x_(3))(1+x_(4)) is

If S is the set of all real x such that (2 x)/(2 x^(2)+5 x+2)>(1)/(x+1) then S is equal to

Find all real solutions to 2^x+x^2=2-(1)/(2^x) .

Find all real solutions to 2^x+x^2=2-(1)/(2^x) .

Find all real solutions to 2^x+x^2=2-(1)/(2^x) .

The sum of all real numbers which are not in the range of f(x)=((x-1)(x-2))/((x-3)(x-1)) is