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Byju's Answer
Standard XII
Mathematics
Nature of Roots
If one root o...
Question
If one root of
5
x
2
+
13
x
+
k
=
0
is reciprocal of the other, then the value of k is
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Solution
Condition for the reciprocal roots is
α
×
β
=
1
→
c
a
=
1
→
c
=
a
⇒
k
=
5
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