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2x2 system, x^2 -xy+y^2 = 7, x^2y+xy^2 = -2

Source: Czech and Slovak MO, III A, 2003 p1

January 12, 2020
system of equationsalgebra

Problem Statement

Solve the following system in the set of real numbers: x2−xy+y2=7x^2 -xy+y^2 = 7, x2y+xy2=−2x^2y+xy^2 = -2.
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