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Nigerian Senior Mathematics Olympiad Round 2
2016 Nigerian Senior MO Round 2
Problem 4
Problem 4
Part of
2016 Nigerian Senior MO Round 2
Problems
(1)
Real numbers and roots
Source: 2016 Nigerian Senior MO Round 2
11/16/2022
Find the real number satisfying
x
=
1
+
1
+
1
+
x
x=\sqrt{1+\sqrt{1+\sqrt{1+x}}}
x
=
1
+
1
+
1
+
x
.
square root
algebra