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Question

The sum of real roots of the equation ∣∣ ∣∣x−6−12−3xx−3−32xx+2∣∣ ∣∣=0, is equal to :

A
4
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B
0
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C
1
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D
6
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Solution

The correct option is B 0
∣ ∣x6123xx332xx+2∣ ∣=0,

Expanding along row 1

x(3x×(x+2)2x(x3)) (6)(2(x+2)+3(x3)) +(1)(4x+3(3x))=0
5x3+30x30+5x=0
Sum of roots=0

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