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Byju's Answer
Standard XII
Mathematics
Complex Numbers
If α and β ...
Question
If
α
and
β
are zeroes of
2
x
2
−
9
x
−
7
, find the values of:
α
3
+
β
3
,
(
α
−
β
)
2
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Solution
2
x
2
−
9
x
−
7
α
,
β
are zeroes
So,
α
+
β
=
9
2
,
α
β
=
−
7
2
α
3
+
β
3
=
(
α
+
β
)
3
−
3
(
α
+
β
)
(
α
β
)
=
721
8
−
3
9
2
−
7
2
=
721
8
+
189
4
=
729
+
378
8
=
1107
8
(
α
−
β
)
2
=
(
α
+
β
)
2
−
4
α
β
=
(
9
2
)
2
−
4
(
−
7
2
)
=
81
4
+
28
2
=
137
4
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