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Solve the system of equations - [Canadian Repêchage 2011]

Source:

January 15, 2011
algebrasystem of equationsalgebra proposed

Problem Statement

Determine all solutions to the system of equations: x2+y2+x+y=12x^2 + y^2 + x + y = 12xy+x+y=3xy + x + y = 3
[This is the exact form of problem that appeared on the paper, but I think it means to solve in R.\mathbb R.]
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