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The number of integral values of a for w...

The number of integral values of a for which the quadratic equation `(x+a)(x+1991)+1=0` has integral roots are a. 3 b. 0 c. 1 d. 2

A

3

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
4
`(x + a)(x + 1991) + 1 = 0`
or `(x + a)(x + 1991) = -1`
`rArr (x + a) = 1 and x + 1991 = -1`
`rArr a = 1993`
or `x + a = -1 and x + 1991 = 1 rArr a = 1989`
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CENGAGE PUBLICATION-THEORY OF EQUATIONS-Single Correct Answer Type : Exercise
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