"If "x+(1)/(x)=2," then "x^(2)+(1)/(x^(2))" is equc "

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

If x_(1)=2tan^(-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

If y=(x^(2)+x+1)/(x^(2)-x+1)," then "(x^(2)-x+1)^(2)y_(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

(x+(1)/(x))^(2)-(x-(1)/(x))^(2)=? 1) x^(2)+(1)/(x^(2)) 2) 4 3) 2x^(2)+(1)/(2x^(2)) 4) 2x^(2)+4+(1)/(2x^(2))

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

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