Предмет: Математика, автор: DenXaoc

Вычислите , пожалуйста быстрее

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Автор ответа: Аноним

Разложим числитель и знаменатель на множители.

2х²-9х-18=0

х=(9±√225)/4=(9±15)/4;х=6; х=-3/2

2х²-9х-18=2*(х-6)*(х+3/2)=(х-6)*(2х+3)

х²-7х-6=0, по Виету х=1;х=6

х²-7х-6=(х-6)*(х-1)

сократим дробь на (х-6), (х-6)*(2х+3)/((х-6)*(х-1))=(2х+3)/(х-1), подставим х=6, получим (2*6+3)/(6-1)=15/5=3

Ответ 3

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