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一元二次方程因式分解法

一元二次方程因式分解法

我唔識分解,可不可以教吓我
Examples
求r的值
1)(r)(r)+(s-a)r-as=?
2)(3r-r)(3r-5)-(r+1)=?

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引用:
Originally posted by 戀櫻 at 2006-1-9 15:04:
我唔識分解,可不可以教吓我
Examples
求r的值
1)(r)(r)+(s-a)r-as=?
2)(3r-r)(3r-5)-(r+1)=?
1. r^2+(s-a)r-as=(r-a)(r+s)

2. (3r-r)(3r-5)-(r+1)=[9r^2-3r^2-15r+5r]-(r+1)=6r^2-10r-r-1=6r^2-11r-1

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引用:
Originally posted by WTF at 2006-1-10 08:57:


1. r^2+(s-a)r-as=(r-a)(r+s)

2. (3r-r)(3r-5)-(r+1)=[9r^2-3r^2-15r+5r]-(r+1)=6r^2-10r-r-1=6r^2-11r-1
我叫你教我,並唔係要answers
答案我都有la
我要step呀!

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引用:
Originally posted by 戀櫻 at 2006-1-10 12:58:


我叫你教我,並唔係要answers
答案我都有la
我要step呀!
I already show you SBS on your question #2

Here is the #1. First, expand your original question
r^2+(s-a)r-as=r^2+rs-ra-as
Draw a little "diagram" as follow

   r        a
        X
   r        s

First colume, rxr=r^2 satisfied what your original question and so does second colume a x s = as except plus instead of minus in the question, so we know there must be one of them should be "negative", only have to find out which one. We can determine in the next step. Now multiply across. which are r x s and r x a. In the expanded question, ra is "minus" But rxr is positive. So we know "a" must be minus in order to get "-ra" (Cannot be "r" because if "r" x "-r" = "-r^2" and also (-a)xs=-sa which is satisfied the requirement on your original question. Therefore the little diagram should be like this

  r        -a
       X  
  r         s

and there you go, there is your answer (r-a)(r+s). Hope this explains

[ Last edited by WTF on 2006-1-10 at 18:40 ]

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thank you

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引用:
Originally posted by 戀櫻 at 2006-1-10 21:09:
thank you
Anytime.

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引用:
Originally posted by WTF at 2006-1-11 05:43:


Anytime.
好厚面皮啫!
(純屬開玩笑,希望不會介意吧)

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引用:
戀櫻 at 2006-1-11 10:53:


好厚面皮啫!
(純屬開玩笑,希望不會介意吧)
You misunderstand the meaning. In this case, "anytime" means "you are welcome". This is how we say in Canada. Besides "anytime" or "you're welcome', we also may use "come again". These all mean the same thing and are kind of "polite talk"

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引用:
Originally posted by WTF at 2006-1-11 18:00:


You misunderstand the meaning. In this case, "anytime" means "you are welcome". This is how we say in Canada. Besides "anytime" or "you're welcome', we also m ...
冇辦法la
我都未去過Canada

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引用:
戀櫻 at 2006-1-11 18:07:


冇辦法la
我都未去過Canada
Oh well, Canada is not a very good place to live. Too cold. LOL

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