Знайдіть 4 послідовних натуральних числа,якщо відомо,що добуток 2 і 4 числа більше за добуток 1 і 3 на 31

Знайдіть 4 послідовних натуральних числа,якщо відомо,що добуток 2 і 4 числа більше за добуток 1 і 3 на 31
- Предмет:
  Алгебра
- Автор:
  jestercochran
- 5 лет назад

Ответы 1

Пусть х; х+1; х+2; х+3 - искомые числа, тогда:
(х+1)(х+3) - х(х+2) = 31
х² + 3х + х + 3 - х² - 2х = 31
2х = 31 - 3
2х = 28
х = 14 - первое число
Ответ: 14; 15; 16; 17.
Проверим:
15 * 17 = 255 - произведение 2 и 4
14 * 16 = 224 - произведение 1 и 3
255 - 224 = 31 верно.
- Автор:
  samsonwa0l
- 5 лет назад
- 0
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Знайдіть 4 послідовних натуральних числа,якщо відомо,що добуток 2 і 4 числа більше за добуток 1 і 3 на 31

Ответы 1

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