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Total number of integral values of 'a' s...

Total number of integral values of 'a' so that `x^(2)-(a+1)x+a-1=0` has roots, is equal to :

A

2

B

1

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`x^(2)-ax-x+a-1=0`
`x^(2)-ax-x+a=1`
`underset("integer")underset(darr)((x-a))underset("integer")underset(darr)((x-1))=underset("integer")underset(darr)(1)" " underset("only possible if ")(x,aepsi "integer")`

is only single a for which it is possible
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