x+(1)/(x)=5;" find the volue of "(x)/(x^(2)+x+1)

If x + (1)/(x) = 5 find the values of (i) x^(2) + (1)/(x^(2)) and (ii) x^(4) + (1)/(x^(4))

If x+(1)/(x)=sqrt(5), find the values of x^(2)+(1)/(x^(2)) and x^(4)+(1)/(x^(4))

If(x+2)+(1)/(x+2)=5 then find the value of (x+2)^(3)+(1)/((x+2)^(3))

If x +(frac(1)(x))=15 , then find the value of (5x)/(5x^2 - 11x +5)

If x-1/x=5 , find the value x^(2)+1/(x^(2)) and x^(4)+1/(x^(4))

Let the equation x^(5) + x^(3) + x^(2) + 2 = 0 has roots x_(1), x_(2), x_(3), x_(4) and x_(5), then find the value of (x_(2)^(2) - 1)(x_(3)^(2) - 1)(x_(4)^(2) - 1)(x_(5)^(2) - 1).

If x -1/x = 5 , then find the value of ( x^2 + 1/x^2 )^( 1/3 )

If x+1/x=sqrt(5) , find the values of x^2+1/(x^2) and x^4+1/(x^4)