x^2-2xy=3xy-6y^2,求x/y的值(y不为0)
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x^2-2xy=3xy-6y^2,求x/y的值(y不为0)x^2-2xy=3xy-6y^2,求x/y的值(y不为0)x^2-2xy=3xy-6y^2,求x/y的值(y不为0)移项得x^2-5xy+6y
x^2-2xy=3xy-6y^2,求x/y的值(y不为0)
x^2-2xy=3xy-6y^2,求x/y的值(y不为0)
x^2-2xy=3xy-6y^2,求x/y的值(y不为0)
移项得x^2-5xy+6y^2=0
由于y不等于=两边同除以y^2
则有
(x/y)^2-5(x/y)+6=0
分解因式:
(x/y-2)(x/y-3)=0
则有x/y=2或x/y=3
2和3
等式两边同除y^2得:
(x/y)^2-2(x/y)=3(x/y)-6
设t=(x/y),上式等价于
t^2-5t+6=0
即:(t-2)(t-3)=0
解得:t=2或t=3
所以:(x/y)=2或(x/y)=3
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