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2013 Poland - Second Round
4
Equation in real numbers
Equation in real numbers
Source: 64 Polish MO 2013 Second Round - Problem 4
April 21, 2018
algebra
equation
Poland
Problem Statement
Solve equation
(
x
4
+
3
y
2
)
∣
x
+
2
∣
+
∣
y
∣
=
4
∣
x
y
2
∣
(x^4 + 3y^2)\sqrt{|x + 2| + |y|}=4|xy^2|
(
x
4
+
3
y
2
)
∣
x
+
2∣
+
∣
y
∣
=
4∣
x
y
2
∣
in real numbers
x
x
x
,
y
y
y
.
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