Find the number of real root of the equation $∣ ∣ 0 x + a x + b x - a 0 x + c x - b x - c 0 ∣ ∣ = 0, a \neq = b \neq = c$ and $b (a + c) > a c$

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Find the number of real root of the equation

∣ ∣ 0 x + a x + b x - a 0 x + c x - b x - c 0 ∣ ∣ = 0, a \neq = b \neq = c

and

b (a + c) > a c

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Question Text

Find the number of real root of the equation

∣ ∣ 0 x + a x + b x - a 0 x + c x - b x - c 0 ∣ ∣ = 0, a \neq = b \neq = c

and

b (a + c) > a c

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