若x²-xy-6y²=o (xy≠0）则x∶y的值为多少

来源：学生作业帮助网编辑：作业帮时间：2024/05/03 12:34:21

因为xy≠0,所以x、y均不为零
因而等式两段同除以y².得
(x/y)²-(x/y)-6=0.
令x/y=t,则有t²-t-6=0,得到t=3或t=-2.
因而,x/y值为3或-2

(x-3y)(x+2y)=0
x/y=3或x/y=-2

x²-xy-6y²=0配方
（x-3y)(x+2y)=0
x=3y或者x=-2y
x:y=1:3=1/3或者x:y=-1/2

(x-3y)(x+2y)=0
x=3y或x=-2y
x:y=3:1 或者 -2:1

好像是3或者-2

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