MathDB
Problems
Contests
National and Regional Contests
Russia Contests
Moscow Mathematical Olympiad
1936 Moscow Mathematical Olympiad
027
MMO 027 Moscow MO 1936 system x+y=a, x^5 +y^5 = b^5
MMO 027 Moscow MO 1936 system x+y=a, x^5 +y^5 = b^5
Source:
July 18, 2019
algebra
system of equations
parameter
Problem Statement
Solve the system
{
x
+
y
=
a
x
5
+
y
5
=
b
5
\begin{cases} x+y=a \\ x^5 +y^5 = b^5 \end{cases}
{
x
+
y
=
a
x
5
+
y
5
=
b
5
Back to Problems
View on AoPS