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14) α,β are roots of 3x
2
−5x+2=0
α+β=−
a
b
=
3
5
a=3,b=−5,c=2
αβ=
a
c
=
3
2
β
α
+
α
β
=
αβ
α
2
+β
2
=
αβ
(α+β)
2
−2αβ
=
3
2
(
3
5
)
2
−2(
3
2
)
=
3
2
9
25
−
3
4
=
3
2
9
25−12
=
9
13
×
2
3
=
6
13
Let one of the root α = 2β α + β = 2β + β = 3β Given a2 = 576 a = 24, -24
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