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2000 Swedish Mathematical Competition
6
y(x+y)^2 = 9, y(x^3-y^3) = 7
y(x+y)^2 = 9, y(x^3-y^3) = 7
Source: 2000 Swedish Mathematical Competition p6
March 21, 2021
algebra
System
system of equations
Problem Statement
Solve
{
y
(
x
+
y
)
2
=
9
y
(
x
3
−
y
3
)
=
7
\left\{ \begin{array}{l} y(x+y)^2 = 9 \\ y(x^3-y^3) = 7 \\ \end{array} \right.
{
y
(
x
+
y
)
2
=
9
y
(
x
3
−
y
3
)
=
7
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