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2
Albanian TST 2014 2nd problem
Albanian TST 2014 2nd problem
Source:
April 21, 2014
algebra
Problem Statement
Solve the following equation in
R
\mathbb{R}
R
:
(
x
−
1
x
)
1
2
+
(
1
−
1
x
)
1
2
=
x
.
\left(x-\frac{1}{x}\right)^\frac{1}{2}+\left(1-\frac{1}{x}\right)^\frac{1}{2}=x.
(
x
−
x
1
)
2
1
+
(
1
−
x
1
)
2
1
=
x
.
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