Question

Как из формулы f=f0*(c+u)/(c-v) выразить с? !

Answer 1

$\displaystyle f=f(0) \cdot \frac{c+u}{c-v} \\\\f \cdot (c-v) = f(0) \cdot (c+u)\\\\f \cdot c - f \cdot v = f(0) \cdot c + f(0) \cdot u\\\\f \cdot c - f(0) \cdot c = f (0) \cdot u + f \cdot v\\\\c \cdot (f - f(0)) = f (0) \cdot u + f \cdot v\\\\c = \frac{f (0) \cdot u + f \cdot v}{f - f(0)}$

ответ: $c = \dfrac{f (0) \cdot u + f \cdot v}{f - f(0)}$

Answer 2

$\boldsymbol{f=\dfrac{f_0*(c+u)}{c-v}}\\\\\boldsymbol{f*(c-v)=f_0*(c+u)}\\\\\boldsymbol{f*c-f*v=f_0*c+f_0*u}\\\\\boldsymbol{f*c-f_0*c=f*v+f_0*u}\\\\\boldsymbol{c*(f-f_0)=f*v+f_0*u}\\\\\\\boxed{\boldsymbol{\;\;\Bigg{c=\dfrac{f*v+f_0*u}{f-f_0}}\;\;}}\\$