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Question

If roots of the equation x2bx+c=0 be two consecutive integers, then b24c equals :

A
2
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B
3
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C
2
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D
1
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Solution

The correct option is D 1
Given equation is x2bx+c=0
Let the roots be α and α+1
Therefore, 2α+1=b
α(α+1)=c
Hence, b24c
=(2α+1)24α(α+1)
=1

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