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Germany Contests
German National Olympiad
1965 German National Olympiad
1
\sqrt{p+x}+\sqrt{p-x}= x
\sqrt{p+x}+\sqrt{p-x}= x
Source: Germany 1965 p1
February 21, 2020
parameter
equation
algebra
Problem Statement
For a given positive real parameter
p
p
p
, solve the equation
p
+
x
+
p
−
x
=
x
\sqrt{p+x}+\sqrt{p-x }= x
p
+
x
+
p
−
x
=
x
.
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