Question

выразите а $Vmax = \frac{v*(p+a)*p0}{(p0-p)*a\\}$

Answer 1

$v_{\max}=\dfrac{v\cdot(p+a)\cdot p_0}{(p_0-p)\cdot a}$

$v_{\max}\cdot(p_0-p)\cdot a=v\cdot(p+a)\cdot p_0$

$v_{\max}(p_0-p)\cdot a=vp_0p+vp_0a$

$v_{\max}(p_0-p)\cdot a-vp_0a=vp_0p$

$\left(v_{\max}(p_0-p)-vp_0\right)\cdot a=vp_0p$

$a=\dfrac{vp_0p}{v_{\max}(p_0-p)-vp_0}$