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There is something to ask

11/03/2017 at 20:35
Answers
17
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For : \(\dfrac{a}{b}=\dfrac{b}{c}=\dfrac{c}{a}\) and a + b + c = 2007

The provincail : a,b,c

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    List of answers
  • ...
    Love the Name of Jiang 11/03/2017 at 20:39

    We have \(\dfrac{a}{b}=\dfrac{b}{c}=\dfrac{c}{a}=\dfrac{a+b+c}{b+c+a}=1\)

    Then : \(\dfrac{a}{b}=1\Rightarrow a=b\)

                \(\dfrac{b}{c}=1\Rightarrow b=c\)

                \(\dfrac{c}{a}=1\Rightarrow c=a\)

    Deduced : a = b = c 

    Which top post for a + b + c = 2007 => 3a = 2007 => a = 2007 : 3 = 669

    Dress a = b = c = 669

    There is something to ask good because neck one question or

    There is something to ask selected this answer.
  • ...
    Love the Name of Jiang 11/03/2017 at 20:53

    Can not believe someone z

  • ...
    Love the Name of Jiang 11/03/2017 at 20:46

    No Kurosaki Akatsu I do not do not copy your articles do not shamelessly z look back . You Is answering that wrong

  • ...
    There is something to ask 11/03/2017 at 20:43

    I agree with Love's name of Jiang

  • ...
    Love the Name of Jiang 11/03/2017 at 20:42

    Kurosaki Akatsu and Love the Name of Jiang good

  • ...
    Kurosaki Akatsu Coordinator 11/03/2017 at 20:37

    Applying the same sequence properties, we have

    \(\dfrac{a}{b}=\dfrac{b}{c}=\dfrac{c}{a}=\dfrac{a+b+c}{b+c+a}=1\)

    \(\Rightarrow\left\{{}\begin{matrix}a=b\\b=c\\c=a\end{matrix}\right.\Rightarrow a=b=c\)

    Change a = b = c , i have :

    a + b + c = a + a + a = 2017 

    => 3a = 2017

    => \(a=\dfrac{2017}{3}\)

    => \(a=b=c=\dfrac{2017}{3}\)

  • ...
    35 Tiểu Bảo 03/04/2017 at 21:16

    Give : x−12=y+34=z−56=kx−12=y+34=z−56=k

    ⇒⎧⎪⎨⎪⎩x=2k+1y=4k−3z=6k+5⇒{x=2k+1y=4k−3z=6k+5

    Change x,y,z into 5z - 3x - 4y = 50 , we have :

    5(6k + 5) - 3(2k + 1) - 4(4k - 3) = 50

    30k + 25 - 6k - 3 - 16k + 12 = 50 

    8k + 34 = 50

    8k = 16

    => k = 2

    ⇒⎧⎪⎨⎪⎩x=2k+1=2.2+1=5y=4k−3=4.2−3=5z=6k+5=6.2+5=17

  • ...
    →இے๖ۣۜBoy™†hïếuGîa 23/03/2017 at 17:17

    We have ab=bc=ca=a+b+cb+c+a=1ab=bc=ca=a+b+cb+c+a=1

    Then : ab=1⇒a=bab=1⇒a=b

                bc=1⇒b=cbc=1⇒b=c

                ca=1⇒c=aca=1⇒c=a

    Deduced : a = b = c 

    Which top post for a + b + c = 2007 => 3a = 2007 => a = 2007 : 3 = 669

    Dress a = b = c = 669

    There is something to ask good because neck one question or

  • ...
    Hoang Duc Hai 12/03/2017 at 19:23

    We have ab=bc=ca=a+b+cb+c+a=1ab=bc=ca=a+b+cb+c+a=1

    Then : ab=1⇒a=bab=1⇒a=b

                bc=1⇒b=cbc=1⇒b=c

                ca=1⇒c=aca=1⇒c=a

    Deduced : a = b = c 

    Which top post for a + b + c = 2007 => 3a = 2007 => a = 2007 : 3 = 669

    Dress a = b = c = 669

    There is something to ask good because neck one question or

  • ...
    Love the Name of Jiang 11/03/2017 at 20:53

    You see you to you to your coppy

  • ...
    Kurosaki Akatsu Coordinator 11/03/2017 at 20:52

    you lost the very important rules , i don't want to talk to you anymore .

  • ...
    Love the Name of Jiang 11/03/2017 at 20:51

    Immerse yourself in the equality of the score

  • ...
    Kurosaki Akatsu Coordinator 11/03/2017 at 20:50

    If you say i am wrong about 2017 , i agree , but about you , from where do you have \(\dfrac{a}{b}=\dfrac{b}{c}=\dfrac{c}{a}=\dfrac{a+b+c}{b+c+a}=1\) 

  • ...
    Love the Name of Jiang 11/03/2017 at 20:50

    No 2017 yes 2007 

  • ...
    Kurosaki Akatsu Coordinator 11/03/2017 at 20:48

    About what , show me !Love the Name of Jiang

  • ...
    Kurosaki Akatsu Coordinator 11/03/2017 at 20:42

    Love the Name of Jiang . Stop rewrite my anwser , you will be bad if you still do that !

  • ...
    Love the Name of Jiang 11/03/2017 at 20:40

    Kurosaki Akatsu good . 


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