已知x²+5xy-6y²=0(y≠0)则代数式x-y/x+y的值为
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已知x²+5xy-6y²=0(y≠0)则代数式x-y/x+y的值为
已知x²+5xy-6y²=0(y≠0)则代数式x-y/x+y的值为
已知x²+5xy-6y²=0(y≠0)则代数式x-y/x+y的值为
x²+5xy-6y²=(x+6y)(x-y)=0
得x+6y=0 x-y=0 x=-6y x=y
带入x-y/x+y得
x-y/x+y=7x/-5x=-7/5
x-y/x+y=0/2x=0
x^2+5xy-6y^2=(x/y)^2+5x/y-6=0
解得x/y=-6或x/y=1
(x-y)/(x+y)=(x/y-1)/(x/y+1)=7/5或0