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Otvet45
@Otvet45
July 2022
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Пожалуйста решите систему неравенств x² +y² =16 и x+y = -2!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Answers & Comments
Dashulya31
X²+y²=16
x=-2-y
(-2-y)²+y²=16
4-4y+2y²=16
разделим всё на 2, получим:
у²-2у+2=8
y²-2y-6=0
D=4+24=28
y₁=(2+2√7)/2=1+√7
y₂=(2-2√7)/2=1-√7
x₁=-2-(1+√7)=-√7-3
x₂=-2-(1-√7)=√7-3
ответ: (-√7-3; 1+√7); (√7-3; 1-√7)
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Answers & Comments
x=-2-y
(-2-y)²+y²=16
4-4y+2y²=16
разделим всё на 2, получим:
у²-2у+2=8
y²-2y-6=0
D=4+24=28
y₁=(2+2√7)/2=1+√7
y₂=(2-2√7)/2=1-√7
x₁=-2-(1+√7)=-√7-3
x₂=-2-(1-√7)=√7-3
ответ: (-√7-3; 1+√7); (√7-3; 1-√7)