已知:-2=x(x-1)-(x的平方-y),①求x-y的值 ②若(x-1)(y+3)<xy,求x的取值范围.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 12:19:29
已知:-2=x(x-1)-(x的平方-y),①求x-y的值 ②若(x-1)(y+3)<xy,求x的取值范围.

已知:-2=x(x-1)-(x的平方-y),①求x-y的值 ②若(x-1)(y+3)<xy,求x的取值范围.
已知:-2=x(x-1)-(x的平方-y),①求x-y的值 ②若(x-1)(y+3)<xy,求x的取值范围.

已知:-2=x(x-1)-(x的平方-y),①求x-y的值 ②若(x-1)(y+3)<xy,求x的取值范围.
x(x-1)-(x的平方-y)=-2
x²-x-x²+y=-2
∴-x+y=-2
x-y=2
(x-1)(y+3)

-2=x(x-1)-(x²-y)
x²-x-x²+y=-2
-x+y=-2
x-y=2
y=x-2
(x-1)(y+3)(x-1)(x-2+3)x²-12x<1
x<1/2