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Mathematics
Mathematics
Problem
If
(
7
+
4
3
)
n
=
s
+
t
(7 + 4\sqrt{3})^n = s + t
(
7
+
4
3
)
n
=
s
+
t
, where
n
n
n
and
s
s
s
are positive integers and
t
t
t
is a proper fraction, show that
(
1
−
t
)
(
s
+
t
)
=
1
(1-t)(s+t) = 1
(
1
−
t
)
(
s
+
t
)
=
1
.
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