嚙踝蕭嚙褊同嚙踝蕭 Gundam HK » 嚙踝蕭嚙踝蕭嚙踝蕭嚙� » help me(嚙複橘蕭嚙瘩)

help me(嚙複橘蕭嚙瘩)

2009-11-10 22:15 Justice

help me(嚙複橘蕭嚙瘩)

1.嚙磐x嚙瞎y嚙瞌嚙踝蕭嚙踝蕭嚙�,嚙瘩x(y+2007)嚙瞑xy嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭ⅷ⑤堙C
If x and y are positive integers, find the number of integers between x(y+2007) and xy?

嚙踝蕭嚙諸計

[[i] 嚙踝蕭嚙踝蕭嚙諒恬蕭嚙� Justice 嚙踝蕭 2009-11-10 22:36 嚙編嚙踝蕭 [/i]]

2009-11-10 22:20 ZGF-2107

嚙踝蕭嚙踝蕭嚙踝蕭f嚙碼嚙踝蕭- -

2009-11-10 22:23 Justice

嚙稷嚙稻 #2 ZGF-2107 嚙踝蕭嚙踝蕭嚙締

嚙誹係嚙踝蕭3,嚙踝蕭嚙盤嚙踝蕭嚙羯嚙踝蕭

2009-11-10 22:30 ZGF-2107

嚙箭嚙磊嚙稽嚙瞌嚙踝蕭嚙確o
嚙踝蕭嚙盤嚙踝蕭嚙踝蕭= =

2009-11-10 22:30 receition

睇嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭
嚙踝蕭嚙瞇嚙稷嚙踝蕭?!=_=

2009-11-10 22:33 ZGF-2107

嚙緯嚙踝蕭wo~
嚙踝蕭讀嚙稷嚙賢中嚙踝蕭?

2009-11-10 22:36 Justice

[quote]嚙趣帖嚙踝蕭 [i]receition[/i] 嚙踝蕭 2009-11-10 22:30 嚙緻嚙踝蕭
睇嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭
嚙踝蕭嚙瞇嚙稷嚙踝蕭?!=_= [/quote]
If x and y are positive integers, find the number of integers between x(y+2007) and xy?

2009-11-10 22:40 receition

嚙請問蛛蕭嚙論係嚙踝蕭嚙磐2007
嚙踝蕭嚙踝蕭嚙褐湛蕭

2009-11-10 22:46 嚙編嚙踝蕭

[quote]嚙趣帖嚙踝蕭 [i]receition[/i] 嚙踝蕭 2009-11-10 22:40 嚙緻嚙踝蕭
嚙請問蛛蕭嚙論係嚙踝蕭嚙磐2007
嚙踝蕭嚙踝蕭嚙褐湛蕭 [/quote]

嚙踝蕭嚙磐2007x嚙踝蕭= =?
x(y+2007) - xy = 2007x
嚙踝蕭嚙褐湛蕭

[[i] 嚙踝蕭嚙踝蕭嚙諒恬蕭嚙� 嚙編嚙踝蕭嚙踝蕭 2009-11-10 22:49 嚙編嚙踝蕭 [/i]]

2009-11-10 22:50 receition

x y 嚙踝蕭嚙踝蕭嚙篌嚙踝蕭0...
嚙穀嚙瘦range嚙磐嚙瘦xy 嚙瞑xy+2007x嚙踝蕭嚙踝蕭
嚙豎即嚙磐嚙穀嚙磐嚙踝蕭xy +嚙瘦嚙踝蕭2007x
嚙豎所以嚙瘦x嚙諒細可嚙瘡嚙磐1(嚙稽嚙踝蕭xy嚙踝蕭嚙箠嚙瘡嚙磐0)
嚙課以嚙瘦嚙踝蕭嚙瘦嚙磐:2007

嚙磕嚙緲嚙線嚙磐嚙緘嚙諒迎蕭嚙瞇嚙踝蕭
嚙踝蕭嚙箠嚙踝蕭嚙踝蕭~,嚙線嚙諸參佗蕭

[[i] 嚙踝蕭嚙踝蕭嚙諒恬蕭嚙� receition 嚙踝蕭 2009-11-10 22:51 嚙編嚙踝蕭 [/i]]

2009-11-10 22:56 嚙編嚙踝蕭

2009-11-10 22:59 receition

嚙稷嚙稻 #11 嚙編嚙踝蕭嚙踝蕭嚙踝蕭嚙締

嚙磐嚙諒莎蕭:嚙稽嚙踝蕭x y 嚙磐positive integers
嚙諉且嚙踝蕭嚙箠嚙瘡嚙磐0
嚙課以嚙諒細係1:
嚙課以嚙磐:2007x1=2007=嚙諒細橘蕭嚙�

嚙線嚙磐嚙緘嚙諒迎蕭嚙趟見
嚙踝蕭嚙踝蕭嚙褐湛蕭

[[i] 嚙踝蕭嚙踝蕭嚙諒恬蕭嚙� receition 嚙踝蕭 2009-11-10 23:24 嚙編嚙踝蕭 [/i]]

2009-11-10 23:24 satzuna

[quote]嚙趣帖嚙踝蕭 [i]receition[/i] 嚙踝蕭 2009-11-10 22:50 嚙緻嚙踝蕭
x y 嚙踝蕭嚙踝蕭嚙篌嚙踝蕭0...
嚙穀嚙瘦range嚙磐嚙瘦xy 嚙瞑xy+2007x嚙踝蕭嚙踝蕭
嚙豎即嚙磐嚙穀嚙磐嚙踝蕭xy +嚙瘦嚙踝蕭2007x
嚙豎所以嚙瘦x嚙諒細可嚙瘡嚙磐1(嚙稽嚙踝蕭xy嚙踝蕭嚙箠嚙瘡嚙磐0)
嚙課以嚙瘦嚙踝蕭嚙瘦嚙磐:2007

嚙磕嚙緲嚙線嚙磐嚙緘嚙諒迎蕭嚙瞇嚙踝蕭
嚙踝蕭嚙箠嚙踝蕭嚙踝蕭~,嚙線嚙諸參佗蕭 [/quote]
嚙踝蕭...?嚙踝蕭嚙罵嚙踝蕭?嚙編嚙踝蕭嚙踝蕭?
嚙踝蕭嚙箭嚙稻嚙踝蕭,嚙踝蕭嚙罵嚙緘嚙踝蕭怳p嚙踝蕭...?嚙瘩嚙諍抬蕭嚙踝蕭嚙磅嚙踝蕭...
嚙稽x嚙踝蕭2,y嚙踝蕭1
嚙稽嚙瞇嚙瞌2嚙踝蕭4016嚙踝蕭嚙踝蕭,嚙編嚙箭嚙踝蕭4014嚙諉伐蕭嚙踝蕭嚙�,嚙稽嚙瞇嚙瞌2007x
嚙踝蕭茪H嚙踝蕭嚙踝蕭嚙瑾嚙磊(嚙踝蕭)
----------------------------------------嚙誹是嚙踝蕭嚙篌嚙線----------------------------------------
(嚙踝蕭搢嚙諉主嚙踝蕭嚙諛己嚙踝蕭嚙確OTL)

[[i] 嚙踝蕭嚙踝蕭嚙諒恬蕭嚙� satzuna 嚙踝蕭 2009-11-10 23:27 嚙編嚙踝蕭 [/i]]

2009-11-10 23:27 嚙編嚙踝蕭

[quote]嚙趣帖嚙踝蕭 [i]satzuna[/i] 嚙踝蕭 2009-11-10 23:24 嚙緻嚙踝蕭

嚙踝蕭...?嚙踝蕭嚙罵嚙踝蕭?嚙編嚙踝蕭嚙踝蕭?
嚙踝蕭嚙箭嚙稻嚙踝蕭,嚙踝蕭嚙罵嚙緘嚙踝蕭怳p嚙踝蕭...?嚙瘩嚙諍抬蕭嚙踝蕭嚙磅嚙踝蕭...
嚙稽x嚙踝蕭2,y嚙踝蕭1
嚙稽嚙瞇嚙瞌2嚙踝蕭4016嚙踝蕭嚙踝蕭,嚙編嚙箭嚙踝蕭4014嚙諉伐蕭嚙踝蕭嚙�,嚙稽嚙瞇嚙瞌2007x
嚙踝蕭茪H嚙踝蕭嚙踝蕭嚙瑾嚙磊(嚙踝蕭)
(嚙踝蕭搢嚙諉主嚙踝蕭嚙諛己嚙踝蕭嚙確OTL) [/quote]

嚙踝蕭嚙瞇嚙瞌x(y+2007) - xy
= xy + 2007x - xy
= 2007x

2009-11-10 23:30 satzuna

[quote]嚙趣帖嚙踝蕭 [i]嚙編嚙踝蕭[/i] 嚙踝蕭 2009-11-10 23:27 嚙緻嚙踝蕭

嚙踝蕭嚙瞇嚙瞌x(y+2007) - xy
= xy + 2007x - xy
= 2007x [/quote]
嚙踝蕭,嚙瞇嚙瞌嚙緻嚙踝蕭,嚙線嚙瞌嚙箠嚙罷嚙瘤嚙諉已(嚙踝蕭)
嚙緘嚙瘦嚙磅嚙瞌嚙踝蕭嚙踝蕭嚙踝蕭,嚙踝蕭嚙確嚙箭嚙請這嚙踝蕭嚙踝蕭嚙諉只嚙瞌嚙踝蕭嚙褐以嚙箴嚙褒過嚙踝蕭,嚙瞎嚙踝蕭シ嚙�(x+y)(x+y),(x+y)(x-y),(x-y)(x-y)嚙緻嚙確嚙踝蕭嚙賤式嚙諉已嚙窮

2009-11-10 23:44 嚙編嚙踝蕭

[quote]嚙趣帖嚙踝蕭 [i]satzuna[/i] 嚙踝蕭 2009-11-10 23:30 嚙緻嚙踝蕭

嚙踝蕭,嚙瞇嚙瞌嚙緻嚙踝蕭,嚙線嚙瞌嚙箠嚙罷嚙瘤嚙諉已(嚙踝蕭)
嚙緘嚙瘦嚙磅嚙瞌嚙踝蕭嚙踝蕭嚙踝蕭,嚙踝蕭嚙確嚙箭嚙請這嚙踝蕭嚙踝蕭嚙諉只嚙瞌嚙踝蕭嚙褐以嚙箴嚙褒過嚙踝蕭,嚙瞎嚙踝蕭シ嚙�(x+y)(x+y),(x+y)(x-y),(x-y)(x-y)嚙緻嚙確嚙踝蕭嚙賤式嚙諉已嚙窮 [/quote]

嚙課以...嚙踝蕭簡嚙賣的-3-"
[嚙趣走:嚙璀嚙踝蕭嚙罵嚙踝蕭嚙豎廢!

2009-11-11 01:05 satzuna

[quote]嚙趣帖嚙踝蕭 [i]嚙編嚙踝蕭[/i] 嚙踝蕭 2009-11-10 23:44 嚙緻嚙踝蕭

嚙課以...嚙踝蕭簡嚙賣的-3-"
[嚙趣走:嚙璀嚙踝蕭嚙罵嚙踝蕭嚙豎廢! [/quote]
嚙瘩嚙緲嚙磕嚙磐嚙誕歹蕭嚙瑾嚙瘦,嚙線嚙緯嚙褒了expand嚙踝蕭factorize嚙瞇嚙賞輕嚙踝蕭嚙踝蕭嚙踝蕭...

2009-11-11 01:12 Zerco

嚙箠嚙罷嚙篌-.-

2009-11-11 19:05 s041161

嚙緯嚙踝蕭嚙磐2007x-1
嚙踝蕭x(y+2007)嚙篁嚙踝蕭xy嚙踝蕭2007x+1嚙踝蕭integer(xy嚙瞑x(y+2007)嚙踝蕭嚙緘ge嚙踝蕭)
嚙豎係x(y+2007)嚙瞑xy嚙踝蕭嚙踝蕭嚙磐嚙磐嚙踝蕭嚙緘xy嚙瞑x(y+2007)
嚙踝蕭f嚙踝蕭蚍⑨狴H嚙磐2007x-1

[[i] 嚙踝蕭嚙踝蕭嚙諒恬蕭嚙� s041161 嚙踝蕭 2009-11-11 19:32 嚙編嚙踝蕭 [/i]]

2009-11-11 19:10 Justice

嚙稷嚙稻 #19 s041161 嚙踝蕭嚙踝蕭嚙締

嚙踝蕭嚙確,嚙踝蕭嚙盤嚙踝蕭嚙磐嚙緯嚙踝蕭嚙璀嚙踝蕭嚙踝蕭

2009-11-11 19:37 s041161

嚙踝蕭x(y+2007)嚙篁嚙踝蕭xy,嚙編xy嚙瞑x(y+2007)嚙瞌嚙踝蕭嚙箠nteger嚙踝蕭嚙緘ge嚙踝蕭...
integer ge嚙複伐蕭=x(y+2007)-xy+1
=2007x+1
嚙稽嚙踝蕭嚙穀嚙踝蕭x(y+2007)嚙瞑xy嚙踝蕭嚙踝蕭,嚙磐嚙磐嚙踝蕭嚙緘x(y+2007)嚙瞑xy
嚙課以嚙踝蕭f2
2007x+1-2=2007x-1

2009-11-11 21:10 edmondlau007

x(y+2007)-xy-1
=xy+2007x-xy-1
=2007x-1

when ,B>A,the number between A and B is B-A-1

2009-11-11 22:00 嚙線嚙踝蕭

睇嚙踝蕭d嚙複喉蕭嚙磐嚙緩

2010-6-14 18:23 嚙調歹蕭M

嚙編嚙瘤嚙踝蕭嚙瘩嚙諍看歹蕭嚙踝蕭..

2010-6-14 20:19 s35op32

嚙踝蕭嚙褕湛蕭嚙豌：

嚙踝蕭嚙誹伐蕭嚙踝蕭嚙諄剁蕭嚙踝蕭嚙踝蕭嚙踝蕭D嚙瘩嚙瘩

y>0
y+2007>2007
so x(y+2007)>2007x

as x>0
by deducting the repeated one(?),
thus, the answer is 2007x-1.

嚙踝蕭inequality嚙緩嚙篇嚙箠嚙瘡嚙瘤嚙瘩嚙瘩嚙瘩
嚙踝蕭嚙緯嚙踝蕭嚙踝蕭嚙踝蕭嚙踝蕭F(?)

2010-6-15 17:56 chronos

嚙誹哨蕭嚙瞇嚙踝蕭2007x..................

嚙踝蕭: [1]

嚙範嚙豎改蕭嚙賬版嚙踝蕭: help me(嚙複橘蕭嚙瘩)

help me(嚙複橘蕭嚙瘩)

help me(嚙複橘蕭嚙瘩)

嚙稷嚙稻 #2 ZGF-2107 嚙踝蕭嚙踝蕭嚙締

嚙稷嚙稻 #11 嚙編嚙踝蕭 嚙踝蕭嚙踝蕭嚙締

嚙稷嚙稻 #19 s041161 嚙踝蕭嚙踝蕭嚙締

嚙稷嚙稻 #11 嚙編嚙踝蕭嚙踝蕭嚙踝蕭嚙締