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Mathematics
Mathematics
Problem
Let
α
\alpha
α
and
β
\beta
β
be roots of the equation
x
2
−
10
x
+
1
=
0
x^2 - 10x + 1 = 0
x
2
−
10
x
+
1
=
0
, then the value of
a
9
+
a
7
a
8
\frac{a_9 + a_7}{a_8}
a
8
a
9
+
a
7
, where
a
n
=
α
n
−
β
n
a_n = \alpha^n - \beta^n
a
n
=
α
n
−
β
n
is (1)
−
10
-10
−
10
(2)
10
10
10
(3)
1
1
1
(4)
−
1
-1
−
1
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