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Byju's Answer
Standard XII
Mathematics
Quadratic Polynomial
If the produc...
Question
If the product of the zeroes of the polynomial
a
x
2
−
5
x
+
6
is
5
then find the value of
a
.
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Solution
⇒
Let zeros are
α
and
β
of the given polynomial
a
x
2
−
5
x
+
6
=
0
⇒
Here,
A
=
a
,
B
=
−
5
,
C
=
6
⇒
α
β
=
5
[ Given ]
⇒
C
A
=
5
⇒
6
a
=
5
∴
a
=
6
5
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