Find the non-zero 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(x2 – 1) – x = 0
= x3 – 2x = 0
x(x2 – 2) = 0
x = 2