Find the nonzero positive value of x which satisfies the equation (begin{vmatrix} x & 1 & 0 \ 1 & x & x \ 0 & 1 & xend{vmatrix}) = 0

A.
2 
B.
4 
C.
√3 
D.
√2 
E.
1
Correct Answer: Option A
Explanation
x(x^{2} – 1) – x = 0
= x^{3} – 2x = 0
x(x^{2} – 2) = 0
x = 2