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Byju's Answer
Standard XII
Mathematics
Definition of Functions
If α and ...
Question
If
α
and
β
are the zeros of the quadratic polynomial
f
(
x
)
=
a
x
2
+
b
x
+
c
, then evaluate :
1
a
α
+
β
+
1
a
β
+
α
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Solution
Given,
f
(
x
)
=
a
x
2
+
b
x
+
c
α
+
β
=
−
b
a
α
β
=
c
a
1
a
α
+
b
+
1
a
β
+
b
=
a
β
+
b
+
a
α
+
b
(
a
α
+
b
)
(
a
β
+
b
)
=
a
(
α
+
β
)
+
2
b
a
2
α
β
+
a
b
(
α
+
β
)
+
b
2
=
a
(
−
b
a
)
+
2
b
a
2
(
c
a
)
+
a
b
(
−
b
a
)
+
b
2
=
−
b
+
2
b
a
c
−
b
2
+
b
2
=
b
a
c
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0
Similar questions
Q.
If
α
and
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are the zeros of the quadratic polynomial
f
(
x
)
=
a
x
2
+
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x
+
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, then evaluate:
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a
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+
b
+
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a
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+
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Q.
if α and βare zeroes of polynomial ax2+bx+c then find 1/aα+b + 1/aα+b
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b
x
+
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=
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, then
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α
+
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)
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If
α
,
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