Grade 10 2014 Problem 1

AlgebraPolynomialsSystems

Odredi sve parove realnih brojeva (x,y)(x,y) koji zadovoljavaju sustav

x+y2=y3,y+x2=x3.\begin{aligned} x + y^2 &= y^3, \\ y + x^2 &= x^3. \end{aligned}