by conservation of energy: * + * = * + *
by conservation of momentum: * + * = * + *
We want to find the final velocities ( and ) so there are 2 unknowns and 2 equations, so we can solve:
by conservation of energy: * + * = * + *
by conservation of momentum: * + * = * + *
We want to find the final velocities ( and ) so there are 2 unknowns and 2 equations, so we can solve:
from 1 we get: * +  * =
from 2 we get: * +  * =
combining we get
* + = * + = * +  *
* + 2***  2*** 2* * * + * = * 
* ( + 1) + * (2**2* * ) + *  * = 0
so to get all we have to do is solve quadratic equation where:
a = + 1
b = 2**2* *
c = *()
=
= 2**2* * + sqrt (2**2* * 4( + 1)**()

2*( + 1)
Here I'm stuck, if you have any ideas how to take this forward please let me know.
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