What is the length of the common chord between two circles whose equations are $x^2+y^2=4$ and $x^2+y^2-6x+2=0$
I have looked at similar problems elsewhere online but I keep getting different answers that do not seem correct. Any solution would be greatly appreciated.
From the system we get $4-6x+2=0$ or $x=1$,
which gives two coommon points $A(1,\sqrt3)$,$B(1,-\sqrt3)$ and the answer: $2\sqrt3$.