If α and β are the zeroes of the polynomial () = 2 + + then evaluate: 2/2 + 2/2
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Step-by-step explanation:
2x
2
−4x+5
α+β=
a
−b
=
2
−(−4)
=
2
4
=2
αβ=
a
c
=
2
5
(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
=−6
(α
3
+β
3
)=(α+β)(α
2
+β
2
−αβ)
=(2)(−1
2
−5
)
=2(
2
−7
)=−7
solution
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