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Canadian Open Math Challenge
2018 Canadian Open Math Challenge
B1
B1
Part of
2018 Canadian Open Math Challenge
Problems
(1)
2018 COMC B1
Source:
12/6/2018
Source: 2018 Canadian Open Math Challenge Part B Problem 1 —--Let
(
1
+
2
)
5
=
a
+
b
2
(1+\sqrt2)^5 = a+b\sqrt2
(
1
+
2
ā
)
5
=
a
+
b
2
ā
, where
a
a
a
and
b
b
b
are positive integers. Determine the value of
a
+
b
.
a+b.
a
+
b
.
Comc
2018 COMC