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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(R1R1R2R2R2R3)3.2.5∣ ∣ ∣0110(1+x)1x21xx2∣ ∣ ∣=0(1+x)∣ ∣011011x1xx2∣ ∣=0x+1=0 or x2=0x=1,2.
Trick : Obviously by inspection, x = -1,2 Obviously by inspection.
At x=1,∣ ∣1420125125∣ ∣=0 as R2R3
At x=2,∣ ∣14201251420∣ ∣=0 as R1R3.

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