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gulia0515ua
@gulia0515ua
June 2023
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60 балов всі завдання!!!!
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babeprs
1)Левая система уравнений сверху
x+y=-5
x^2+y^2=25
x=-5-y
(-5-y)^2+y^2=25
x=-5-y
y^2+10y+25+y^2=25
x=-5-y
2y^2+10y=0
x=-5-y
2y*(y+5)=0
x=-5-y
y1=0
y2=-5
x1=-5-0=-5
x2=-5-(-5)=0
Ответ: x1=-5 x2=0; y1=0; y1=-5
2)Левая система уравнений снизу
x-y=4
x^2-2xy=12
x=4+y
(4+y)^2-2*(4+y)*y=12
x=4+y
y^2+8y+16-8y-2y^2=12
x=4+y
-y^2=-4
x=4+y
y^2=4
x=4+y
y1=2
y2=-2
y1=2
y2=-2
x1=4+2=6
x2=4+(-2)=2
Ответ: y1=2; y2=-2; x1=6; x2=2.
3)Правая система уравнений сверху
x-y=4
x^2+y^2=16
x=4+y
(4+y)^2+y^2=16
x=4+y
y^2+8y+16+y^2=16
x=4+y
2y^2+8y=0
x=4+y
2y*(y+4)=0
x=4+y
y1=0
y2=-4
x1=4+0=4
x2=4+(-4)=0
Ответ: x1=4; x2=0; y1=0; y2=-4
4)Правая система уравнений снизу
y+2x=6
x^2+xy=8
y=6-2x
x^2+x*(6-2x)=8
y=6-2x
x^2+6x-2x^2=8
y=6-2x
-x^2+6x-8=0 |•(-1)
y=6-2x
x^2-6x+8=0
y=6-2x
x^2-2x-4x+8=0
y=6-2x
x*(x-2)-4*(x-2)=0
y=6-2x
(x-2)*(x-4)=0
y=6-2x
x1=2
x2=4
y1=6-2*2=2
y2=6-2*4=-2
Ответ: x1=2; x2=4; y1=2; y2=-2
1 votes
Thanks 1
babeprs
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Answers & Comments
x+y=-5
x^2+y^2=25
x=-5-y
(-5-y)^2+y^2=25
x=-5-y
y^2+10y+25+y^2=25
x=-5-y
2y^2+10y=0
x=-5-y
2y*(y+5)=0
x=-5-y
y1=0
y2=-5
x1=-5-0=-5
x2=-5-(-5)=0
Ответ: x1=-5 x2=0; y1=0; y1=-5
2)Левая система уравнений снизу
x-y=4
x^2-2xy=12
x=4+y
(4+y)^2-2*(4+y)*y=12
x=4+y
y^2+8y+16-8y-2y^2=12
x=4+y
-y^2=-4
x=4+y
y^2=4
x=4+y
y1=2
y2=-2
y1=2
y2=-2
x1=4+2=6
x2=4+(-2)=2
Ответ: y1=2; y2=-2; x1=6; x2=2.
3)Правая система уравнений сверху
x-y=4
x^2+y^2=16
x=4+y
(4+y)^2+y^2=16
x=4+y
y^2+8y+16+y^2=16
x=4+y
2y^2+8y=0
x=4+y
2y*(y+4)=0
x=4+y
y1=0
y2=-4
x1=4+0=4
x2=4+(-4)=0
Ответ: x1=4; x2=0; y1=0; y2=-4
4)Правая система уравнений снизу
y+2x=6
x^2+xy=8
y=6-2x
x^2+x*(6-2x)=8
y=6-2x
x^2+6x-2x^2=8
y=6-2x
-x^2+6x-8=0 |•(-1)
y=6-2x
x^2-6x+8=0
y=6-2x
x^2-2x-4x+8=0
y=6-2x
x*(x-2)-4*(x-2)=0
y=6-2x
(x-2)*(x-4)=0
y=6-2x
x1=2
x2=4
y1=6-2*2=2
y2=6-2*4=-2
Ответ: x1=2; x2=4; y1=2; y2=-2