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Byju's Answer
Standard X
Mathematics
Relationship Between Zeroes and Coefficients of a Quadratic Polynomial
If α and ...
Question
If
α
and
β
are zeroes of the polynomial
(
x
)
=
x
2
−
x
−
k
, such that
α
−
β
=
9
, find
k
.
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Solution
f
(
x
)
=
x
2
−
x
−
k
=
0
α
+
β
=
1
α
β
=
−
k
α
−
β
=
9
α
β
=
−
k
α
=
5
5
(
−
4
)
=
−
k
β
=
−
4
k
=
20
∴
k
=
20
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