Find the mass of two decayed fragments

[Miri]

Homework Statement

An unstable particle with a mass equal to 3.34*10^-27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.987c and -0.868c. Find the masses of the fragments.

Homework Equations

conservation of momentum: 0=(m1*0.987c)/sqrt(1-(0.987)^2-(m1*0.868c)/sqrt(1-(0.868)^2

conservation of total energy: 3.34*10^-27 kg=m1/sqrt(1-(0.987)^2+m2/sqrt(1-(0.868)^2
when I solve this for m1 or/and m2 it gives me the wrong result.

Solutions:
mfaster=2.51*10^-28 kg
mslower=8.82*10^-28 kg

 

[nickjer]

Are those solutions you gave the ones you got that were wrong, or the correct ones? Because I get the same answer as the solutions you gave using your equations.

 

[Miri]

These are the correct solutions (not mine). Now, after calculating it a hundred times I also got the correct result. Thank you