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Mathematics
Problem
If
a
,
b
,
c
∈
R
a, b, c \in \mathbb{R}
a
,
b
,
c
∈
R
, find the number of real roots of the equation
∣
x
c
−
b
−
c
x
a
b
−
a
x
∣
=
0.
\left|\begin{matrix} x & c & -b \\ -c & x & a \\ b & -a & x \end{matrix}\right| = 0.
x
−
c
b
c
x
−
a
−
b
a
x
=
0.
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