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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
10.1
y=x+|y-3x-2x^2| (IV Soros Olympiad 1997-98 R3 10.1)
y=x+|y-3x-2x^2| (IV Soros Olympiad 1997-98 R3 10.1)
Source:
June 2, 2024
analytic geometry
algebra
Problem Statement
On the coordinate plane, draw a set of points whose coordinates
(
x
,
y
)
(x, y)
(
x
,
y
)
satisfy the equation
y
=
x
+
∣
y
−
3
x
−
2
x
2
∣
y=x+|y-3x-2x^2|
y
=
x
+
∣
y
−
3
x
−
2
x
2
∣
.
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