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Soros Olympiad in Mathematics
VII Soros Olympiad 2000 - 01
9.1
draw points of x^3 + y^3 = x^2y^2 + xy (VII Soros Olympiad 2000-01 R1 9.1)
draw points of x^3 + y^3 = x^2y^2 + xy (VII Soros Olympiad 2000-01 R1 9.1)
Source:
July 27, 2021
analytic geometry
algebra
Problem Statement
Draw on the plane a set of points whose coordinates
(
x
,
y
)
(x,y)
(
x
,
y
)
satisfy the equation
x
3
+
y
3
=
x
2
y
2
+
x
y
x^3 + y^3 = x^2y^2 + xy
x
3
+
y
3
=
x
2
y
2
+
x
y
.
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