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maykl19992014
@maykl19992014
July 2022
1
22
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Решить систему
Х-у=8
Ху=20
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ewgenijbark
Verified answer
Выразим х из первого уравнения
х = 8 + у
и подставим его во второе
(8 + у)у=20
у² + 8у - 20 = 0
D = 144 = 12²
у1 = (-8 - 12)/2 = -10
у2 = (-8+12)/2 = 2
х1=8-10 = -2
х2=8+2 = 10
Ответ. (-2; -10), (10, 2)
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Answers & Comments
Verified answer
Выразим х из первого уравнениях = 8 + у
и подставим его во второе
(8 + у)у=20
у² + 8у - 20 = 0
D = 144 = 12²
у1 = (-8 - 12)/2 = -10
у2 = (-8+12)/2 = 2
х1=8-10 = -2
х2=8+2 = 10
Ответ. (-2; -10), (10, 2)