1. The problem statement, all variables and given/known data Find the speed parameter β and Lorentz factor γ for an electron that has a kinetic energy of: a) 6.00 keV b) 2.00 MeV c) 4.00 GeV 2. Relevant equations KE=(γ-1)*511 KeV SQRT(1/(1-β^2))=γ 3. The attempt at a solution a) 6 KeV=(y-1)*511 y=1.0117 1.0117=SQRT(1/(1-β^2)) β=0.152 b) 2 MeV=(y-1)*0.511 y=4.91 4.91=SQRT(1/(1-β^2)) β=0.979 c) 4000 MeV=(y-1)*0.511 y=7828 My issue with this problem is I can't figure out how to calculate β. I was able to calculate the other betas by guessing and checking what beta was...I don't know how to simplify the equation to make solving for beta easier. I can't use this method for this particular problem because y is so large. If someone could point out to me where my issue is, and how to go about getting around this problem, I would be very thankful.