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r = (u+v)^2 / (x+y) solve for v
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best i got was r(x+y)= u^2 +2uv +v^2
its a quadratic eqn in v ..see ??
\[r(x+y)=(u+v)^2\] \[\pm\sqrt{r(x+y)}=u+v\] \[v=-u\pm\sqrt{r(x+y)}\]
even without quadratic,,you can take root of both sides and solve for v .. note : you have to solve 2 times,,one with +r and other -r
how do you know you have to take plus or minus, in satellite's answer?
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is it cause i can't realistically take the square root of a negative number? so that twill be a nonreal answer therefore being able to be discarded?
thats not unreal soln..plus and minus both come into play as both when squared yield same term.. thus his solution also gives 2 answers..which you should get from any other soln.
my brain hurts.
lol.. ;)
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