Solve w= (va)/(r^2+a^2) for a.

Question

is the answer a= sqrt[w(r^2+v^2)/v]?

Answer 1

wr^2 + wa^2 - va=0

a^2 -v/w a -wr^2=0

Now apply the quadratic formula

a= (v/w +- sqrt (v^2/w^2 - 4*(-wr^2)) /2

check my thinking.

Answer 2

I have the answer as a= (v+/- sqrt[v^2+4w^2r^2]/w