Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & x \\ 0 & 1 & x\end{vmatrix}\) = 0

Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & x \\ 0 & 1 & x\end{vmatrix}\) = 0

A 2
B 4
C √3
D √2
E 1

jamb 1997 mathematics

The correct answer is A. 2

x(x

- 1) - x = 0

= x

- 2x = 0

x(x

- 2) = 0

x = 2

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