Dear Fellows,
I used NSolve to solve a nonlinear system of two equations with two unknowns as follows:
NSolve[{-2.9*(10^(-15))*(y-x)^2+x^2*(y-x)^2-x^4==0,-2.9*(10^(-15))*(y-x)^2+(y-x)^2*y^2+y^4==0},{x,y},20]
I expect to receive just 4 solutions for this system of equations. However, mathematica provides a lot of solutions including 4 real and 4 complex solutions. I can reproduce the real solutions (almost similar) with FindRoot command of Mathematica. Would some body plz hint me how these complex solutions are found? Isn't NSolve supposed to return only 4 solutions for a fourth order equation totally?