if `x = (√5-2)/(√5+2)` then find `x+1/x`

If x = (1)/(x- 5) , find: x^(2)- (1)/(x^(2))

If x = (1)/(x- 5) , find: x^(2) + (1)/(x^(2))

If |A| = 2 and A = | (2x, 6) , (5x, 1)| then find the value of x

If (x-4)/(x^(2)-5x-2k)=(2)/(x-2) - (1)/(x+k) , then find k ?

If 1 and -1 are zeroes of the polynomial x^(3)+5x^(2)-x-5 , then find all zeroes of the given polynomial.

If 2(x^(2) + 1)= 5x , find x- (1)/(x)

If sin^(-1)(5/x)+cos^(-1)(x/5)=pi/2 ,then find x.

If x= (1)/(x) - 5 and x ne 5 , find x^(2)- (1)/(x^(2))

If 3x - (1)/(3x ) =5 , find : (i) 9x^(2) + (1)/( 9x^2)

If 2(x^(2) + 1)= 5x , find x^(3)- (1)/(x^(3))