MathDB

1

Part of 2014 Federal Competition For Advanced Students

Problems(1)

system x^2 + x = y^3 - y, y^2 + y = x^3 - x

Source: 2014 Austrian Federal Competition For Advanced Students, Part 1 p1

2/2/2020
Determine all real numbers xx and yy such that x2+x=y3−yx^2 + x = y^3 - y, y2+y=x3−xy^2 + y = x^3 - x
system of equationsalgebra