已知x²-xy-y²=0,且x≠0,y≠0.求代数式(x²-2xy-5y²)/(x²+2xy+5y²)的值

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/30 22:39:31

已知x²-xy-y²=0,且x≠0,y≠0.求代数式(x²-2xy-5y²)/(x²+2xy+5y²)的值

(x+y)(x²-xy-y²)=0, => x^3-y^3=0, x=y
(x²-2xy-5y²)/(x²+2xy+5y²)=-6/8=-3/4=-0.75