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studyKate
@studyKate
July 2022
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решить систему уравнений
| х+2у=1
| х^2-ху-2у^2=1
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sangers1959
Verified answer
X+2y=1 x=1-2y
x²-xy-2y²=1
(1-2y)²-(1-2y)*y-2y²=1
1-4y+4y²-y+2y²-2y²-1=0
4y²-5y=0
y*(4y-5)=0
y₁=0 x₁=1
4y-5=0
y₂=1,25 x₂=-1,5
Ответ: x₁=1 y₁=0 x₂=-1,5 y₂=1,25.
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Answers & Comments
Verified answer
X+2y=1 x=1-2yx²-xy-2y²=1
(1-2y)²-(1-2y)*y-2y²=1
1-4y+4y²-y+2y²-2y²-1=0
4y²-5y=0
y*(4y-5)=0
y₁=0 x₁=1
4y-5=0
y₂=1,25 x₂=-1,5
Ответ: x₁=1 y₁=0 x₂=-1,5 y₂=1,25.