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JBMO TST - Turkey
2016 JBMO TST - Turkey
1
1
Part of
2016 JBMO TST - Turkey
Problems
(1)
Equation System
Source: Turkey JBMO TST 2016 P1
5/22/2016
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of real numbers satisfying the equations \begin{align*} x^2+y&=xy^2 \\ 2x^2y+y^2&=x+y+3xy. \end{align*}
algebra
system of equations