How do you solve this system of equations ($c$ and $v$ are constants):
$\beta\left(\beta+v\gamma\right)=1$
$c^2\gamma(\beta+v\gamma)=-v$
I somehow seem to be stuck and just can't figure out how to solve them in an effective way.
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Sign up to join this communityHow do you solve this system of equations ($c$ and $v$ are constants):
$\beta\left(\beta+v\gamma\right)=1$
$c^2\gamma(\beta+v\gamma)=-v$
I somehow seem to be stuck and just can't figure out how to solve them in an effective way.
Hint:
From the first equation you have $$ \gamma=\frac{1-\beta^2}{v\beta} $$
so the second equation becomes: $$ c^2(1-\beta^2)=-v^2\beta^2 $$