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Byju's Answer
Standard X
Mathematics
Relationship Between Zeroes and Coefficients of a Quadratic Polynomial
The sumα+β an...
Question
The sum
(
α
+
β
)
and product
(
α
β
)
of zeros of polynomial
2
x
2
−
x
+
5
is _______
A
α
+
β
=
1
2
α
β
=
5
2
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B
α
+
β
=
−
1
2
α
β
=
5
2
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C
α
+
β
=
1
2
α
β
=
−
5
2
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D
α
+
β
=
1
α
β
=
5
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Solution
The correct option is
A
α
+
β
=
1
2
α
β
=
5
2
Given,
2
x
2
−
x
+
5
We know,
a
x
2
+
b
x
+
c
Sum of zeroes,
α
+
β
=
−
b
a
Product of zeroes,
α
β
=
c
a
a
=
2
;
b
=
−
1
;
c
=
5
α
+
β
=
−
(
−
1
)
2
=
1
2
α
β
=
5
2
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3
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