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Smeh1312
@Smeh1312
July 2022
2
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Решите систему уравнений методом замены переменной, пожалуйста
1/x+y +x=-1
x/x+y=-2
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ErmaKostya
Решение в файле. ....
2 votes
Thanks 0
KuOV
Verified answer
1/x+y +x=-1
x/x+y=-2
y = -1-1/x - x
x/x + (-1-1/x - x) = -2
x/x - 1 -1/x - x -2 = 0
(x -x - 1 - x
² - 2x) / x = 0
-x
² - 2x -1 = 0 (×-1)
x²+2x+1 = 0
По теореме Виета:
x₁+x₂ = -2 x₁ = 1
x₁*x₂ = 1 x₂ = 1
_______________________________
1/1 + y + 1 = -1
y = -1-1-1
y = -3
_______________
1 votes
Thanks 1
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Answers & Comments
Verified answer
1/x+y +x=-1x/x+y=-2
y = -1-1/x - x
x/x + (-1-1/x - x) = -2
x/x - 1 -1/x - x -2 = 0
(x -x - 1 - x² - 2x) / x = 0
-x² - 2x -1 = 0 (×-1)
x²+2x+1 = 0
По теореме Виета:
x₁+x₂ = -2 x₁ = 1
x₁*x₂ = 1 x₂ = 1
_______________________________
1/1 + y + 1 = -1
y = -1-1-1
y = -3
_______________