AMGM problem
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
AMGM problem
Kulna08hisecQ6
the AM(arithmetic mean) of x and y is a. and GM(geometric mean) is g. if a+g = yx then what is $\frac{x}{y}$
the AM(arithmetic mean) of x and y is a. and GM(geometric mean) is g. if a+g = yx then what is $\frac{x}{y}$
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Re: AMGM problem
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Re: AMGM problem
$a+g=yx$
$\frac{x+y+2\sqrt{xy}}{2}=yx$
$(9xy)(xy)=0$
if $x=y$ then 1st line is wrong...........s_____
avror bepare onno vaiara valoo bolte parbe
$\frac{x+y+2\sqrt{xy}}{2}=yx$
$(9xy)(xy)=0$
if $x=y$ then 1st line is wrong...........s_____
avror bepare onno vaiara valoo bolte parbe

 Posts: 125
 Joined: Mon Dec 13, 2010 12:05 pm
 Location: চট্রগ্রাম,Chittagong
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Re: AMGM problem
after the 2nd line of my last post::::rakeen wrote:how did u get (9xy)(xy) = 0
$\sqrt{xy} =\frac{y3x}{2}$
$4xy=y^26xy+9x^2$
$(9xy)(xy)=0$
if $x=y$ then $a+g =yx$ line is wrong...........
so $\frac{x}{y}=\frac{1}{9}$
Re: AMGM problem
Thanks to rakeen and anti...I have got a huge benefit from this two mathematicians(pam)
Re: AMGM problem
Bismillahir Rahmanir Raheem.
If x=y then is a+g=y−x wrong?
What about x=y=0?
(0+0)/2 + sqrt(0*0) = 00.
Tanvir Zawad
If x=y then is a+g=y−x wrong?
What about x=y=0?
(0+0)/2 + sqrt(0*0) = 00.
Tanvir Zawad
Re: AMGM problem
AM bujhi, GM ta keo bujhaya diba?
Re: AMGM problem
AM bujhi, GM ta keo bujhaya diba?
akashe shurjota uthe nirobe
akashe shurjota uthe nirobe