If α, β are the zeroes of the polynomial 2x2 – 4x + 5. find the value of (i) α
2 + β 2
(ii) (α - β)2
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Answer:
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Step-by-step explanation:
α
2
+β
2
)=(α+β)
2
−2αβ
=4−5=−1
α
1
+
β
1
=
αβ
α+β
=
2
5
2
=
5
4
(α−β)
2
=(α
2
+β
2
)−2αβ
=−1−2(
2
5
)=−1−5
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