已知2/x+2/y=根号24,求 x/y(x-y) - y/x(x-y)的值
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已知2/x+2/y=根号24,求x/y(x-y)-y/x(x-y)的值已知2/x+2/y=根号24,求x/y(x-y)-y/x(x-y)的值已知2/x+2/y=根号24,求x/y(x-y)-y/x(x
已知2/x+2/y=根号24,求 x/y(x-y) - y/x(x-y)的值
已知2/x+2/y=根号24,求 x/y(x-y) - y/x(x-y)的值
已知2/x+2/y=根号24,求 x/y(x-y) - y/x(x-y)的值
2/x+2/y=根号24
(2y+2x)/xy=2√6
x+y=xy√6
x/y(x-y) - y/x(x-y)
=1/(x-y)[(x/y-y/x)]
=1/(x-y)[(x²-y²)/xy]
=1/(x-y)[(x-y)(x+y)/xy]
=(x+y)/xy
=xy√6/xy
=√6
后面的式子通分,就变成了 (x+y)/xy
前面的式子通分 是 2(x+y)/xy=根号24
所以后面的式子就是 二分之根号24 化简就是根号6
这种题目只有一个条件 对于后面那个式子就只能通分 大胆计算试一试就出来了
x/[y(x-y)] - y/[x(x-y)]
=(x^-y^)/[xy(x-y)]
=(x+y)/(xy)
=1/x+1/y
=√6.
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