Ответ: 1. (5;-4) (-4;5) 2. (-2;1)
1. x+y=1
xy=-20
x=1-y
(1-y)y=-20
-y²+y=-20
-y²+y+20=o
y1=5 y2=-4
x1=1-5=-4
x2=1-(-4)=5
2. x+3y=1
x²+2xy-y²=-1
x=1-3y
(1-3y)²+2y(1-3y)-y²=-1
1-6y+9y²+2y-6y²-y²=-1
2-4y+2y²=0
y²-2y+1=0
(y-1)²=0
y-1=0
y=1
x=1-3*1=-2
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Ответ: 1. (5;-4) (-4;5) 2. (-2;1)
1. x+y=1
xy=-20
x=1-y
(1-y)y=-20
-y²+y=-20
-y²+y+20=o
y1=5 y2=-4
x1=1-5=-4
x2=1-(-4)=5
2. x+3y=1
x²+2xy-y²=-1
x=1-3y
(1-3y)²+2y(1-3y)-y²=-1
1-6y+9y²+2y-6y²-y²=-1
2-4y+2y²=0
y²-2y+1=0
(y-1)²=0
y-1=0
y=1
x=1-3*1=-2