If `x` is complex root of `|(1,x,x), (x,1,x), (x,x,1)|+|(1-x,1,1), (1,1-x,1), (1,1,1-x)|=0` then `x^2016+x^-2016=`

If |(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x)|=0 then x=

det[[ If x, is imaginary root of the equation ,x,xx,1,xx,x,1]]+det[[1,1-x,11,1-x,11,1,1-x]]=0

Number of real roots of the equation [[1, x, x], [ x, 1, x],[ x, x, 1]|+|[1-x , 1, 1], [1 , 1-x , 1 ],[ 1 , 1, 1-x]|=0 is

Solve that |{:(1+x,1-x,1-x),(1-x,1+x,1-x),(1-x,1-x,1+x):}|=0

The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| =0 are

If |{:(x-1,1,1),(1,x+1,1),(-1,1,x+1):}|=0 , find the value of x.

If A= |(x,1,1),(1,x,1),(1,1,x)| and B = |(x,1),(1,x)|, " then " (dA)/(dx) =

The roots of the equation |(1+x,1,1),(1,1+x,1),(1,1,1+x)| = 0 are

The roots of the equation |(x-1,1,1),(1,x-1,1),(1,1,x-1)| = 0 are