Question

упростите выражение (a-((4a-4)/a))/((2/a)-1)

Answer 1

$frac{a-frac{4a-4}{a}}{ frac{2}{a}-1}= \ \ frac{frac{a^{2}-4a-4}{a}}{ frac{2-a}{a}}= \ \ frac{a^{2}-4a-4}{a}}* frac{a}{2-a}= \ \ frac{a^{2}-4a-4}{2-a}$

О.Д.З.
$2-a neq 0 \ a neq 2$

$a^{2}-4a-4=0 \ D=(-4)^{2}-4*(-4)=16+16=32 \ \ x_{1}= frac{4+4 sqrt{2}}{2} \ \ x_{2}= frac{4-4 sqrt{2}}{2}$