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Byju's Answer
Standard XII
Mathematics
Determinant
If α ,β are...
Question
If
α
,
β
are roots of
y
2
−
2
y
−
7
=
0
find
α
2
+
β
2
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Solution
Sum of the roots
=
α
+
β
=
−
−
2
1
=
2
Product of the roots
=
α
β
=
−
7
1
=
−
7
α
2
+
β
2
=
(
α
+
β
)
2
−
2
α
β
=
(
2
)
2
−
2
×
−
7
=
4
+
14
=
18
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