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Contests
National and Regional Contests
Germany Contests
German National Olympiad
2016 German National Olympiad
1
1
Part of
2016 German National Olympiad
Problems
(1)
Typical German system of equations
Source:
6/21/2016
Find all real pairs
(
a
,
b
)
(a,b)
(
a
,
b
)
that solve the system of equation \begin{align*} a^2+b^2 &= 25, \\ 3(a+b)-ab &= 15. \end{align*} (German MO 2016 - Problem 1)
algebra
system of equations