Can you please show me how to do the algebra to get u by its

Can you please show me how to do the algebra to get u by itself

Mu/Squareroot1-(u/c)^2 = mv/Squareroot1-(v/c)^2 (0.272 kg)u/Squareroot1-(u/c)^2 = (1.3 kg)(0.515 c)/Squareroot1-(0.515 c/c)^2 u/c = 2.87Squareroot1-(u/c)^2 u = 0.944 c

Solution

Mu/ sqrt[ 1- (u/c)^2] = mv/sqt[ 1- (v/c)^2]

0.272u/sqrt[ 1- (u/c)^2] = 1.3*0.515c/sqrt[1 - (0.515c/c)^2]

0.272u/sqrt[ 1- (u/c)^2] = 0.6695c/0.857

(u/c) =2.87*sqrt[ 1- (u/c)^2]

Take square of both sides:

(u/c)^2 = 8.25[ 1- (u/c)^2]

9.25(u/c)^2 = 8.25

(u/c)^2 = 8.25/9.25 = 0.8918

Take square root on both sides:

u/c = 0.944

u = 0.944*c

Hope you find solution helpfull