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

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

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

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

If x-1/x=3,\ find the values of x^2+1/(x^2)a n d\ x^4+1/(x^4)dot

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

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

If |[1, x, x^2], [x, x^2, 1], [x^2, 1, x]|=3, then find the value of |[x^3-1, 0, x-x^4], [0, x-x^4, x^3-1], [x-x^4, x^3-1, 0]|

If x=2+sqrt(3) , then find the value of x^(4)-4x^(3)+x^(2)+x+1 .

If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

If x is real, then find the minimum value of (x^(2)-x+1)/(x^(2)+x+1) .