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1
Diophantine: x+y=\sqrt x+\sqrt y+\sqrt{xy}
Diophantine: x+y=\sqrt x+\sqrt y+\sqrt{xy}
Source: Romanian District Olympiad 2016, Grade VII, Problem 1
October 4, 2018
equations
Diophantine equation
algebra
Problem Statement
Solve in
N
2
:
\mathbb{N}^2:
N
2
:
x
+
y
=
x
+
y
+
x
y
.
x+y=\sqrt x+\sqrt y+\sqrt{xy} .
x
+
y
=
x
+
y
+
x
y
.
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