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KEAM 2016 Math Paper
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© examsnet.com
Question : 17
Total: 120
If the equation
2
x
2
–
(
a
+
3
)
x
+
8
=
0
has equal roots, then one of the values of a is
-9
-5
-11
11
9
Validate
Solution:
Given equation is
2
x
2
+
(
a
+
3
)
x
+
8
=
0
Here,
A
=
2
,
B
=
a
+
3
and
C
=
8
If roots are equal, then
B
2
−
4
A
C
=
0
⇒
(
a
+
3
)
2
−
4
×
2
×
8
=
0
⇒
a
2
+
6
a
+
9
−
64
=
0
⇒
a
2
+
6
a
−
55
=
0
⇒
a
2
+
11
a
−
5
a
−
55
=
0
⇒
(
a
+
11
)
(
a
−
5
)
=
0
∴
a
=
−
11
,
5
∴
a
=
−
11
,
5
© examsnet.com
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