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Byju's Answer
Standard XII
Mathematics
Definition of Functions
If α and ...
Question
If
α
and
β
are zeroes of the polynomial
2
x
2
+
7
x
+
3
, then find the value of
α
2
+
β
2
−
2
α
β
.
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Solution
2
x
2
+
7
x
+
3
α
,
β
are roots
α
+
β
=
−
7
2
,
α
β
=
3
2
α
2
+
β
2
−
2
α
β
=
(
α
+
β
)
2
−
2
α
β
−
2
α
β
=
(
α
+
β
)
2
−
4
α
β
=
(
−
7
2
)
2
−
4
(
3
2
)
α
2
+
β
2
−
2
α
β
=
25
4
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