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Mathematics
Mathematics
Problem
Let
α
\alpha
α
and
β
\beta
β
be the roots of
5
x
2
−
6
x
+
1
=
0
5x^{2}-6x+1=0
5
x
2
−
6
x
+
1
=
0
. The value of
(
α
+
β
)
2
+
α
β
(\alpha+\beta)^{2}+\alpha\beta
(
α
+
β
)
2
+
α
β
is a)
46
25
\dfrac{46}{25}
25
46
b)
41
25
\dfrac{41}{25}
25
41
c)
31
25
\dfrac{31}{25}
25
31
d)
61
25
\dfrac{61}{25}
25
61
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