If , find the number of real roots of the equation | matrix x & c & -b -c & x & a b &…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

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

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