已知X+Y=7且XY=12,则当X<Y时,1⼀X-1⼀Y=

2025-04-28 22:10:09
推荐回答(4个)
回答1:

(x-y)²
=(x+y)²-4xy
=7²-4*12
=1
x<y,所以x-y=-1
与x+y=7联立解得:
x=3,y=4
1/x-1/y=1/3-1/4=1/12

回答2:

1/x-1/y=(y-x)/xy=(y-x)/12
(x y)^2=49
x^2 2xy y^2=49
x^2 2xy y^2-4xy=1
x^2-2xy y^2=1
(x-y)^2=1
y-x=1
所以是1/12
但此处x,y等地位,我认为答案应该是正负1/12

回答3:

x=3 y=4 1/X-1/Y= 1/3-1/4=1/12

回答4:

X=3 Y=4 1/X-1/Y=1/12