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sashaalexsa
@sashaalexsa
March 2022
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2. Решите систему уравнений
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KarinaYouchi
X+y=3 y=3-x
xy=-4
x*(3-x)=-4
3x-x
²=-4
-x²+3x+4=0 | *(-1)
x²-3x-4=0
D=(-3)²-4*1*(-4)=9+16=√25=5
x1=
3+5
=4
2
x2=
3-5
=-1
2
x1=4 x2=-1
y=3-4 y=3-(-1)
y1=-1 y2=4
Ответ:(4;-1);(-1;4)
x²+y²=17
xy=-4 x=-4-y |*(-1)
x=y+4
(y+4)²+y²=17
y²+8y+16+y²-17=0
2y²+8y-1=0
D=8²-4*2*(-1)=64+8=72
Не могу решить.
x+2y=7 x=7-2y
xy+2y²=14
(7-2y)*y+2y²-14=0
7y-2y²+2y²-14=0
7y-14=0
7y=14
y=2
x=7-4
x=3
Ответ: (3;2)
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Answers & Comments
xy=-4
x*(3-x)=-4
3x-x²=-4
-x²+3x+4=0 | *(-1)
x²-3x-4=0
D=(-3)²-4*1*(-4)=9+16=√25=5
x1=3+5=4
2
x2=3-5=-1
2
x1=4 x2=-1
y=3-4 y=3-(-1)
y1=-1 y2=4
Ответ:(4;-1);(-1;4)
x²+y²=17
xy=-4 x=-4-y |*(-1)
x=y+4
(y+4)²+y²=17
y²+8y+16+y²-17=0
2y²+8y-1=0
D=8²-4*2*(-1)=64+8=72
Не могу решить.
x+2y=7 x=7-2y
xy+2y²=14
(7-2y)*y+2y²-14=0
7y-2y²+2y²-14=0
7y-14=0
7y=14
y=2
x=7-4
x=3
Ответ: (3;2)