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Moscow Mathematical Olympiad
1940 Moscow Mathematical Olympiad
058
058
Part of
1940 Moscow Mathematical Olympiad
Problems
(1)
MMO 058 Moscow MO 1940 system (x^3 + y^3)(x^2 + y^2) = 2b^5, x + y = b
Source:
7/18/2019
Solve the system
{
(
x
3
+
y
3
)
(
x
2
+
y
2
)
=
2
b
5
x
+
y
=
b
\begin{cases} (x^3 + y^3)(x^2 + y^2) = 2b^5 \\ x + y = b \end{cases}
{
(
x
3
+
y
3
)
(
x
2
+
y
2
)
=
2
b
5
x
+
y
=
b
in
C
C
C
system of equations
algebra
parameter