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Contests
National and Regional Contests
Canada Contests
Canada National Olympiad
1998 Canada National Olympiad
2
2
Part of
1998 Canada National Olympiad
Problems
(1)
Equation of exponents
Source: Canada 1998
3/4/2006
Find all real numbers
x
x
x
such that:
x
=
x
−
1
x
+
1
−
1
x
x = \sqrt{ x - \frac{1}{x} } + \sqrt{ 1 - \frac{1}{x} }
x
=
x
−
x
1
+
1
−
x
1
algebra unsolved
algebra