MathDB
Problems
Contests
National and Regional Contests
Cuba Contests
Cuba MO
2007 Cuba MO
1
x^3 - y^3 = 7(x - y), x^3 + y^3 = 5(x + y)
x^3 - y^3 = 7(x - y), x^3 + y^3 = 5(x + y)
Source: 2007 Cuba MO 2.1
September 15, 2024
algebra
system of equations
System
Problem Statement
Find all the real numbers
x
,
y
x, y
x
,
y
such that
x
3
−
y
3
=
7
(
x
−
y
)
x^3 - y^3 = 7(x - y)
x
3
−
y
3
=
7
(
x
−
y
)
and
x
3
+
y
3
=
5
(
x
+
y
)
.
x^3 + y^3 = 5(x + y).
x
3
+
y
3
=
5
(
x
+
y
)
.
Back to Problems
View on AoPS