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Юксменд
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July 2022
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Задание 21 с решением, пожалуйста
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Nesh1999
3y+7=x^2 => 3y=-7+x^2
x+2=3y+y^2
3y/3 = -7/3+x^2/3 =>
y= -7/3 +x^2/3
=>
x^2+2=3(-7/3+x^x^2/3)+(-7/3+x^2/3)^2
x= -4
(-4)^2+2=3y+y^2
16+2=3y+y^2
18=3y+y^2
3y+y^2=18
3y+y^2-18=0
(y^2-3y+6y-18)=0
((y^2-3y)+(6y-18)=0
(y(y-3)+6(y-3))=0
(y+6)(y-3)=0
y=-6
y=3
=> x=-4
y=-6;3
x=4
y= -6;3
=> (-4;3),(4;3)
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Answers & Comments
x+2=3y+y^2
3y/3 = -7/3+x^2/3 =>
y= -7/3 +x^2/3
=>
x^2+2=3(-7/3+x^x^2/3)+(-7/3+x^2/3)^2
x= -4
(-4)^2+2=3y+y^2
16+2=3y+y^2
18=3y+y^2
3y+y^2=18
3y+y^2-18=0
(y^2-3y+6y-18)=0
((y^2-3y)+(6y-18)=0
(y(y-3)+6(y-3))=0
(y+6)(y-3)=0
y=-6
y=3
=> x=-4
y=-6;3
x=4
y= -6;3
=> (-4;3),(4;3)