If `|1xx^2xx^2 1x^2 1x|=,` then find the value of `|x^3-1 0x-x^4 0x-x^4x^3-1x-x^4x^3-1 0|`

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]|

If |{:(1,x,x^(2)),(x,x^(2),1),(x^(2),1,x):}| =3 then the value of |{:(x^(3)-1,0,x-x^(4)),(0,x-x^(4),x^(3)-1),(x-x^(4),x^(3)-1,0):}| is

If |[2,3,2],[x,x,x],[4,9,1]|+3=0 , then find the value of x.

If x^(2)-4x +1=0 , then what is the value of x^(3)+(1)/(x^(3)) ?

If 3x - (1)/(2x) = 3 , then find the value of (36x^(4) + 1)/(4x^(2)) .

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