If a + b + c = 0 and ∣∣∣∣a−xcbcb−xabac−x∣∣∣∣=0 t – InterviewSolution

1.	If a + b + c = 0 and ∣∣∣∣a−xcbcb−xabac−x∣∣∣∣=0 then show that x = 0, x=√32(a2+b2+c2)
Answer» If a + b + c = 0 and $∣ ∣∣ ∣ \begin{matrix} a - x & c & b c & b - x & a b & a & c - x \end{matrix} ∣ ∣∣ ∣ = 0$ then show that x = 0, $x = \sqrt{\frac{3}{2} (a^{2} + b^{2} + c^{2})}$

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