已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值

来源：学生作业帮编辑：神马作文网作业帮分类：数学作业时间：2024/11/20 16:10:24

已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值
上述题目为：
已知x的2次方减去y的2次方等于xy,且xy不等于0,求（x的2次方乘以y的负2次方的积）再加上（x的负2次方乘以y的2次方的积）
最好能写明过程

x^2-y^2=xy
两边平方
x^4+y^4-2x^2y^2=x^2y^2
x^4+y^4=3x^2y^2
x^2y^-2+x^-2y^2
x^2/y^2+y^2/x^2
=(x^4+y^4)/x^2y^2
=3x^2y^2/x^2y^2
=3

已知x^2-xy+3y^2=0 且xy不等于0 求x/y+y/x 的值已知xy不等于零,且3x^2-2xy-8y^2=0,求x/y的值已知 xy不等于0且 3x^2 - 2xy - 8y^2=0求x/y的值! 已知xy不等于0,且3x² -2xy-8y²=0,求x/y的值已知x^2+xy-2y^2=0 (x不等于0,y不等于0）,求x/y-y/x-(x^2+y^2)/xy的值已知x^2-7xy+12y=0,且x.y不等于0,求x^2-2xy+y^2/2xy的值已知x-3y=0,且xy不等于0,求分式x*2-xy+y*2/x*2+xy+y*2的值已知x^2-y^2=xy,且xy不等于0.求x^2y^-2+x^-2y^2的值已知x方-y方=xy,且xy不等于0.求x方y负2次方+x负2次方y方的值已知5x-4y=0且xy不等于0,求x^2+y^2/x^2-y^2-x+y/x-y的值已知2x^2-3xy+y^2=0,xy不等于零,求x/y+y/x的值已知2x^2-xy-3y^2=0,且x不等于-y.求x/{y-[x^2/(x-y)]}的值.