3x+2y=0
3x=-2y
x/y=-2/3
(x^2+xy-y^2)/(x^2-xy+y^2)(分子分母同时除以 y^2)
=(x^2/y^2+x/y-1)/(x^2/y^2-x/y+1)
=[(-2/3)^2+(-2/3)-1]/[(-2/3)^2-(-2/3)-1]
=[4/9-2/3-1]/[4/9+2/3-1]
=(-11/9)/(1/9)
=-11
3x+2y=0
3x=-2y
x/y=-2/3
(x^2+xy-y^2)/(x^2-xy+y^2)(分子分母同时除以 y^2)
=(x^2/y^2+x/y-1)/(x^2/y^2-x/y+1)
=[(-2/3)^2+(-2/3)-1]/[(-2/3)^2-(-2/3)-1]
=[4/9-2/3-1]/[4/9+2/3-1]
=(-11/9)/(1/9)
=-11