" ii) "(x^(2)-x+1)/((x+1)(x-1)^(2))" [March "1575]

Solve : (x)/(x-1)+(x-1)/(x)=2(1)/(2) .

The expression (1)/(1+(x)/(1-(x)/(x+2)))div ((1)/(1-x)+(1)/(1+x))/((1)/(1-x)-(1)/(1+x)) (a) (2x)/(x^(2)+2x+2) (b) (2x)/(x^(2)-1) (c) 1 (d) x^(2)-1

If x_(1) = 2 tan^(-1) ((1 + x)/(1 -x)), x_(2) = sin^(-1) ((1 - x^(2))/(1 + x^(2))), " where " x in (0, 1) , then x_(1) + x_(2) is equal to

Let x_(1) , x_(2) , x_(3) be the solution of tan^(-1) ((2x + 1)/(x +1 )) + tan ^(-1) ((2x - 1)/( x -1 )) = 2 tan ^(-1) ( x + 1) " where x_1 2x_(1) + x_(2) + x_(3)^(2) is equal to

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

((x+1)/(x^(2/3)-x^(1/3)+1)-(x-1)/(x-x^(1/2)))=