4.If `x+(1)/(x)=sqrt(3)`,then the value of `x^(6)-(1)/(x^(6))+2` is:

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

If x+1/x=3 , then the value of x^6+1/x^6 is.

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

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

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

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

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

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

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= 5 - 2 sqrt6 , find the value of : x^(2) +(1)/(x^(2))