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Question

x2+a2x+b=0 and x2+x+1=0 have a common roots which of the following is true.


A

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B

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C

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D

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Solution

The correct option is D


Let the common root = α

α2a2b(1) = α1b(2) =11α2(3) 1a2b111

α = a2b1b,α = 1b1a2

a2b1b = 1b1a2

(1b2) = (a2b)(1a2)


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