F.3 maths question

2007-10-21 8:10 pm
x+y=4 , xy= -2 ,then(x^ -1+y^ -1)= ??

A. -2
B 2
C -1/2
D 1/2
E 1

回答 (3)

2007-10-21 8:18 pm
✔ 最佳答案
(x^ -1+y^ -1)=

x分之一加y分之一

加減要通分母

x+y
------(分數)
xy

4
---=2
2

2007-10-21 12:20:12 補充:
答案是B.2

2007-10-22 20:20:10 補充:
睇漏左個負號,應該是4---=-2-2 A.2才是
2007-10-22 12:58 am
1/x+1/y
=y/xy+x/xy
=y+x/xy
Since, x+y=4,xy=-2,sub. in the equation:
=4/-2
= - 4/2
= - 2//
The answer of this equation is -2.
The answer -2 satisfies the equation.
The m.c answer is A (-2).
參考: me.
2007-10-21 9:10 pm
(x^ -1+y^ -1)

= 1/x + 1/y

= (x+y)/(xy)

=4/(-2) (given, x+y=4 , xy= -2 )

=-2

ANS: A


收錄日期: 2021-04-13 14:04:52
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