Предмет: Математика, автор: derius000

Площадь прямоугольника равна 24 найдите его большую сторону если она на 5 больше меньшей стороны

Ответы

Автор ответа: DariosI

Пусть ширина прямоугольника х, тогда длина прямоугольника (х+5), тогда площадь прямоугольника вычисляется как:

х(х+5)=24

х²+5х-24=0

D=5²+4*24=121=11²

x₁=(-5+11)/2=3 ширина прямоугольника

x₂=(-5-11)/2=-8<0 не подходит

3+5=8 длина прямоугольника

Ответ 8 большая сторона

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