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Question
Mathematics
The number of integral values of ' a ' for which the quadratic equation (x+a)(x+2016)+1=0 has integral roots, is equal to
Q. The number of integral values of '
a
' for which the quadratic equation
(
x
+
a
)
(
x
+
2016
)
+
1
=
0
has integral roots, is equal to
112
152
Complex Numbers and Quadratic Equations
Report Error
A
2015
B
2
C
2016
D
0
Solution:
(
x
+
a
)
(
x
+
2016
)
=
−
1
x
+
a
=
1
,
x
+
2016
=
−
1
or
x
+
a
=
−
1
,
x
+
2016
=
1
a
=
+
2018
,
x
=
−
2017
,
or
x
=
−
2015
⇒
a
=
2014