解这个方程组X^2 + Y^2 -2X + 4Y = 20(X-Y)^2 + 6X - 6Y + 8 =0

来源：学生作业帮编辑：拍题作业网作业帮分类：数学作业时间：2024/04/27 23:38:04

解这个方程组
X^2 + Y^2 -2X + 4Y = 20
(X-Y)^2 + 6X - 6Y + 8 =0

X^2 + Y^2 -2X + 4Y = 20.(1) (X-Y)^2 + 6X - 6Y + 8 =0 (X-Y)^2 + 6X - 6Y + 8 =0 (x-y)^2+6(x-y)+8=0 (x-y+4）（x-y+2)=0 x-y=-4,y=x+4 或x-y=-2.y=x+2 将y=x+4和y=x+2分别代入方程（1） x^2-2x+(x+4)^2+4(x+4)=20 2x^2+10x+12=0 x^2+5x+6=0 (x+2)(x+3) x=-2或x=-3 y=x+4=2或y=x+4=1 x^2-2x+(x+2)^2+4(x+2)=20 2x^2+6x-8=0 x^2+3x-4=0 (x+4)(x-1)=0 x=-4或x=1 y=x+2=-2或y=x+2=3 解得：x=-2,y=2 或x=-3,y=1 或x=-4,y=-2 或x=1,y=3

解这个方程组X^2 + Y^2 -2X + 4Y = 20(X-Y)^2 + 6X - 6Y + 8 =0 3/x+y+2/x-y=6,3（x+y)-2(x-y)=28解这个方程组解方程组 x-y/3-x+y/4=2 x-y/6-x+y/8=3 x+6=y-x-8,2x+3y-1=y-x-8 解这个方程组解方程组X+Y/2=3X-2Y=10+6X+Y/4 解方程组：2(x-y)/3-x+y/4=-1 ,6(x+y)-4(2x-y)=16 解方程组 {(x+y)/2+(x-y)/3=6 5(x+y)-2(x-y)=4 解方程组 X+Y/2+X-Y/3=6 4[X+Y]-5[X-Y]=2 3(x+y)—4(x-y)=4,(x+y/2)+(x-y/6)=1.解方程组解二元一次方程组{3(x+y)-4(x-y)=4,x+y/2+x-y/6=1 解方程组3(x+y)-4(x-y)=4和(x+y)/2+(x-y)/6=1 解方程组:{二分之x+y+二分之x-y=6,4(x+y)-5(x-y)=2()