JAMB - Mathematics (1997 - No. 22)
Find the non-zero positive value of x which satisfies the equation \(\begin{vmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x\end{vmatrix}\) = 0
2
4
√3
√2
1
คำอธิบาย
x(x\(^2\) - 1) - x = 0
= x\(^3\) - 2x = 0
x(x\(^2\) - 2) = 0
x\(^2\) - 2 = 0
x\(^2\) = 2
x = \(\sqrt{2}\)