решите систему методом подстановки (х+у) * 2 = 58 ху = 100. Created by nnast. algebra-ru

решите систему методом подстановки (х+у) * 2 = 58 ху = 100...

nnast @nnast

June 2022 1 16 Report

решите систему методом подстановки
(х+у) * 2 = 58
ху = 100

Answers & Comments

koingrel

Verified answer

(х+у)*2 = 58
ху = 100

х + у = 29
у = 100/х

х + 100/х = 29 |*х
у = 100/х

х^2 + 100 = 29х
у = 100/х

х^2 - 29х + 100 = 0
у = 100/х

(х - 4)*(х - 25) = 0
у = 100/х

х1 = 4
х2 = 25
у = 100/х

х1 = 4
х2 = 25
у1 = 25
у2 = 4

Ответ: (4 ; 25) (25 ; 4)

2 votes Thanks 2

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Answer

Answers & Comments

Verified answer

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