Предмет: Алгебра, автор: canikh

Подалуйста найдите наибольшее значение выражения -a(в квадрате)+5а+1

Ответы

Автор ответа: lidusya13

-а^2+5а+1=-(а^2-5а-1)=-(а^2-5а+6,25-6,25-1)=-((а-2,5)^2-7,25)=-(а-2,5)^2+7,25
7,25-наибольшее;
Можно и так:
У=-а^2+5а+1;
Хо=-5/-2=2,5;
Уо=-6,25+5•2,5+1=-6,25+12,5+1=7,25

Автор ответа: canikh

спасибо

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