Find the value of `|[x^3,x^2+x+1],[x-1,1]|`

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]|

Find the value of x in x-1/x=3

Find the value of x if |(x,3,2),(x,x,1),(1,0,1)| =9

Find the value of x if |[1+x,1-x,1],[2,4+x,3],[-1,1,2]|=0

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

Find the value of x if: 2^(x-3)=1

Find the value of x if |(x^2-x+1,x+1),(x+1,x+1)| =0

Find the value of x if |(x^2-x+1,x+1),(x+1,x+1)| =0

If x + 1/x= 2cos theta ,then find the value of x^3 + 1/x^3

If x + 1/x = 8 and x - 1/x = -8 , then find the value of x^2 - 1/(x^2)