r = (u+v)^2
/ (x+y)

solve for v

Question

r = (u+v)^2 
/ (x+y)

solve for v

anonymous · Answer

best i got was r(x+y)= u^2 +2uv +v^2

shubhamsrg · Answer

its a quadratic eqn in v ..see ??

anonymous · Answer

$$r(x+y)=(u+v)^2$$
$$\pm\sqrt{r(x+y)}=u+v$$
$$v=-u\pm\sqrt{r(x+y)}$$

shubhamsrg · Answer

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

anonymous · Answer

how do you know you have to take plus or minus, in satellite's answer?

anonymous · Answer

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?

shubhamsrg · Answer

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.

anonymous · Answer

my brain hurts.

shubhamsrg · Answer

lol.. ;)