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Question

The roots of the equation ∣ ∣142012512x5x2∣ ∣ = 0 are

A
-1,-2
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B
-1,2
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C
1,-2
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D
1,2
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Solution

The correct option is B -1,2
∣ ∣142012512x5x2∣ ∣ = 0 ∣ ∣ ∣0615022x5(1x2)12x5x2∣ ∣ ∣=0 (R1 R1 R2R2 R2 R3) 3.2.5.∣ ∣ ∣0110(1+x)1x21xx2∣ ∣ ∣=0 (1+x)∣ ∣011011x1xx2∣ ∣=0 x+1=0 or x2=0 x=1,2.
Trick: Obviously by inspection, x=-1,2 satisfy the equation.
At x=-1, ∣ ∣1420125125∣ ∣=0 as R2 R3
At x=2, ∣ ∣14201251420∣ ∣=0 as R1 R3

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