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Byju's Answer
Standard XII
Mathematics
Roots of a Quadratic Equation
If one root o...
Question
If one root of the equation 5x
2
+13x + k = 0 is the reciprocal of the other root then find the value of k.
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Solution
Let one root be
α
and the other root be
1
α
.
The given equation is 5x
2
+13x + k = 0.
Product of roots =
k
5
⇒
α
×
1
α
=
k
5
⇒
1
=
k
5
⇒
k
=
5
Hence, the value of k is 5.
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