Автор - extremem

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

Ответ

Автор - Светланаskrip
 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}

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