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shatab228
shatab228
21.09.2021 15:02 •  Математика

Водной корзине 4 кг картофеля, а во второй 6 кг(всего 4,50 эвро) сколько стоит картофель в каждой корзине? ?

👇
Ответ:
Loskinstem5617
Loskinstem5617
21.09.2021
1евро ао лвов рыоыт вовт о
4,5(32 оценок)
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Ответ:
ROMMIT2
ROMMIT2
21.09.2021

Пошаговое объяснение:

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4,4(68 оценок)
Ответ:
DityaDyavola
DityaDyavola
21.09.2021
Х - первое число;
у - второе число.

По условию получаем систему уравнений:
х - у = 4
х^2 - у^2 = 168

Разложим второе уравнение, в котором в левой части мы видим разность квадратов:
(х+у)(х-у) = 168

Вместо (х-у) подставим значение из первого уравнения:
(х+у) • 4 = 168
х+у = 168:4
х+у = 42

Теперь мы имеем новую систему уравнений:
х-у = 4
х+у = 42

Сложим оба уравнения:
х-у + х+у = 4+42
2х = 46
х = 46:2
х = 23

Вычтем из второго уравнения первое:
х+у - (х-у) = 42-4
х + у - х + у = 38
2у = 38
у = 38:2
у = 19

ответ: 23 - первое число; 19 - второе число.

Проверка:
х^2 - у^2 = 168
23^2 - 19^ = 529 - 361 =168
Все верно...
4,8(99 оценок)
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