This is a great lesson in why you need grouping symbols. IF the equation is
f = (u v / u) + v
then the u's do indeed cancel out and you are left with
f = v + v = 2 v
or
v = f/2
However, as I suspect, IF the equation is
f = (u v ) / (u + v)
the u's do not cancel out. Multiplying both sides by (u + v), we have
f (u + v) = u v
==> f u + f v = u v
==> f v - u v = - f u
==> (u - f) v = f u
==> ...
I am an electrician currently working through an open university course in electrical engineering (HND). The current module i am studying is analytical methods for engineers. I am 40 years old and its been 25 years since i last indulged in maths, so i am lets say a little rusty.
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