If `x=5-2sqrt6` then find `x^4-1/x^4`

If x = 5 - 2sqrt6 , find: x - 1/x

If x-1/x=sqrt5 , find the value of x^4+1/x^4

(9+4sqrt(5))^(x)+(9-4sqrt(5))^(x)=18, then find x^(2)-(1)/(x^(2))

If x=5+2sqrt(6), then sqrt((x)/(2))-(1)/(sqrt(2x))= (a) 1 (b) 2 (c) 3 (d) 4

If cos (pi/12) = (sqrt(2) + sqrt(6))/(4) , then all x in (0,pi/2) such that (sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2) , then find x.

If cos (pi/12) = (sqrt(2) + sqrt(6))/(4) , then all x in (0,pi/2) such that (sqrt(3)-1)/(sin x) + (sqrt(3)+1)/(cos x) = 4sqrt(2) , then find x.

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

If x= (sqrt2+1)/(sqrt2-1) and x-y= 4sqrt2 then find the value of x^4+y^4 .

If x+(1)/(x)=(sqrt(2))/(3+sqrt(5)) then, x^(4)+(1)/(x^(4))

If x=sqrt(-2)-1 find he value of x^(4)+4x^(3)+6x^(2)+4x+9