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m1=1;m2=2;u1=3;u2=-4;

Also, suppose that exactly 90% of the KE is lost as a result of the collision (hence, the coefficient of restitution is sqrt(0.9)). Now I can convert both velocities into the center-of-mass frame of reference, invert them, multiply by sqrt(0.9) and convert back into the lab frame of reference to get (one of the two solutions):

v1=-6.09384 and v2=-0.54692

The problem with these numbers is: if I keep everything in the lab frame of reference and plug all these numbers into these equations (where ε=0.9):

their LHS is not equal to their RHS by quite a significant quantity.

What am I missing?

Thanks!