Автор - nuraikkkkaaa

a1+a5=24 a1*a3=60
нужно найти a1 и d прогрессия​

Ответ

Автор - rs19990809

Ответ:

a1 = 5 \ d = 3.5

Объяснение:

a1 + a5 = 24 \ a1 times a3 = 60 \ a1 = x  \ x + x + 4d = 24\ 2x + 4d = 24 \ x + 2d = 12 \ x = 12 - 2d \   {(12 - 2d)}^{2}  + 24d  -  4{d}^{2}  = 60 \ 144 - 48d + 4 {d}^{2}  + 24d - 4 {d}^{2}  - 60 = 0 \ 24d = 84 \ d = 3.5 \ x = 12 - 7 = 5 \ a1 = 5

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