How to find alpha² and bita² for a fiven polynomial
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Answer:
Sum of the roots=α+β=
1
−3
=−3
Product of the roots=αβ=
1
6
=6
(i)
β
α
+
α
β
=
αβ
α
2
+β
2
=
αβ
(α+β)
2
−2αβ
=
6
(−3)
2
−2×6
=
6
9−12
=
6
−3
=
2
−1
(ii)α
2
+β
2
=(α+β)
2
−2αβ
=(−3)
2
−2×6
=9−12=−3
Step-by-step explanation:
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