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1983 Swedish Mathematical Competition
6
x(x+y)^2 = 9 , x(y^3 - x^3) = 7
x(x+y)^2 = 9 , x(y^3 - x^3) = 7
Source: 1983 Swedish Mathematical Competition p6
March 28, 2021
system of equations
System
algebra
Problem Statement
Show that the only real solution to
{
x
(
x
+
y
)
2
=
9
x
(
y
3
−
x
3
)
=
7
\left\{ \begin{array}{l} x(x+y)^2 = 9 \\ x(y^3 - x^3) = 7 \\ \end{array} \right.
{
x
(
x
+
y
)
2
=
9
x
(
y
3
−
x
3
)
=
7
is
x
=
1
x = 1
x
=
1
,
y
=
2
y = 2
y
=
2
.
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