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Byju's Answer
Standard X
Mathematics
Relationship Between Zeroes and Coefficients of a Quadratic Polynomial
If α, β are...
Question
If
α
,
β
are the zeroes of the quadratic polynomial
x
2
−
5
x
+
k
where
α
−
β
=
1
, find the value of
k
.
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Solution
Given if
α
β
are zeroes of quadratic polynomial
f(x)
=
x
2
−
5
x
+
k
(1)
&
α
−
β
=
1
&
α
−
β
=
5
&
α
β
= k
we know
(
α
+
β
)
2
−
(
α
−
β
)
2
=
4
α
β
25
−
1
=
4
α
β
α
β
=
24
4
=
6
∴
value of k =
α
β
=
6.
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