Автор - levermakov




найдите значение выражения m^2+mn-2n^2/2m^2-5mn+3n^2 при m/n=2/3

Ответ

Автор - Alexandr130398
m/n=2/3 ⇔n=3m/2
(m²+mn-2n²)/(2m²-5mn+3n²)=(m²+m*(3m/2)-2(3m/2)²)/(2m²-5m(3m/2)+3(3m/2)²)=
(m²+(3m²/2)-(9m²/2)) / (2m²-(15m²/2)+(27m²/4))=-2m²/ (5m²/4)=-8/5=-1.6
отв:-1.6

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