Can U Prove 3=2??
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Ah, um... You are allowed to shuffle the order of operations of equal precedence. However, in your SQRT phase, it would help if you first wrote: sqrt((3-5/2)^2) = sqrt((2-5/2)^2) Or in other words, sqrt((0.5)^2) = sqrt((-0.5)^2) The result of sqrt(x^2) is defined as +/-(x) Therefore your flaw is the next to last line. It should be written. (+/-)(3-5/2) = (+/-)(2-5/2) Which =can= be true... Ian
As he explicitly said "Taking positive square root", sqrt(x^2) = |x| Therefore, |0.5| = |-0.5| which is clearly equivalent to -6=-6.
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This is something that i received in mail. very intresting. And I am sorry if this is a repost. :) Can U Prove 3=2?? Here is Proof for 3=2 from Ramanujam. This seems to be an anomaly or whatever u call in mathematics.It seems, Ramanujam found it but never disclosed it during his life time and that it has been found from his dairy. See this illustration: -6 = -6 9-15 = 4-10 adding 25/4 to both sides: 9-15+(25/4) = 4-10+(25/4 ) Changing the order 9+(25/4)-15 = 4+(25/4)-10 (this is just like : a square + b square - two a b = (a-b)square. ) Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S. So it can be expressed as follows: (3-5/2)(3-5/ 2) = (2-5/2)(2-5/ 2) Taking positive square root on both sides: 3 - 5/2 = 2 - 5/2 3 = 2 ANY FLAWS??????? ???????
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
vijay7173 wrote:
, Ramanujam found it but never disclosed it during his life time and that it has been found from his dairy.
That's a big rumour. Ramanujam will not waste his time on this silly proof. This is an hold high school trick, I might have found funny when I was in high school not anymore. X|
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This is something that i received in mail. very intresting. And I am sorry if this is a repost. :) Can U Prove 3=2?? Here is Proof for 3=2 from Ramanujam. This seems to be an anomaly or whatever u call in mathematics.It seems, Ramanujam found it but never disclosed it during his life time and that it has been found from his dairy. See this illustration: -6 = -6 9-15 = 4-10 adding 25/4 to both sides: 9-15+(25/4) = 4-10+(25/4 ) Changing the order 9+(25/4)-15 = 4+(25/4)-10 (this is just like : a square + b square - two a b = (a-b)square. ) Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S. So it can be expressed as follows: (3-5/2)(3-5/ 2) = (2-5/2)(2-5/ 2) Taking positive square root on both sides: 3 - 5/2 = 2 - 5/2 3 = 2 ANY FLAWS??????? ???????
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
a = b<=> a² = ab
<=> a² + a² - 2ab = ab + a² - 2ab
<=> 2a² - 2ab = a² - ab
<=> 2(a² - ab) = 1(a² - ab)
<=> 2 = 1Is this a proof by contradiction that for any a,b, a cannot equal b?
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vijay7173 wrote:
since i read that it was from Ramanujam (who is one of the greatest mathematician)
Well, it's quite common for people wanting to spread something and have people read it without thinking it through, to claim it comes from someone well known. It's a bit like those fake virus emails that say 'this is top of Microsoft's 'most dangerous virus list'' ( there is no such list )
Christian Graus - Microsoft MVP - C++ Metal Musings - Rex and my new metal blog "I am working on a project that will convert a FORTRAN code to corresponding C++ code.I am not aware of FORTRAN syntax" ( spotted in the C++/CLI forum )
yes. But i just wonder on how much impact the little things can have on us. Just a line reading -"This was found in Ramanujam's dairy!" made me not to look for flaws in the (so called) 'proof'. Honestly, when i was in Pre University Collage (6 years back), i knew a trick by which we used to prove 1=2. i knew it was a trick and not the truth. but since the similar kind of trick was used to prove 2=3 and said that it was a proof by Ramanujam, they made me belive in the false proof and accept it without a second thought.
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
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a = b<=> a² = ab
<=> a² + a² - 2ab = ab + a² - 2ab
<=> 2a² - 2ab = a² - ab
<=> 2(a² - ab) = 1(a² - ab)
<=> 2 = 1Is this a proof by contradiction that for any a,b, a cannot equal b?
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a = b<=> a² = ab
<=> a² + a² - 2ab = ab + a² - 2ab
<=> 2a² - 2ab = a² - ab
<=> 2(a² - ab) = 1(a² - ab)
<=> 2 = 1Is this a proof by contradiction that for any a,b, a cannot equal b?
Daniel Grunwald wrote:
a = b <=> a² = ab <=> a² + a² - 2ab = ab + a² - 2ab <=> 2a² - 2ab = a² - ab <=> 2(a² - ab) = 1(a² - ab) <=> 2 = 1
Hey, proof for 2 = 1. This is the trick i was speaking about in my reply to christian's post. :)
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
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Daniel Grunwald wrote:
2(a² - ab) = 1(a² - ab)
This tep is wrong, (a² - ab) is Zero, division by zero is undefined (not valid)
C++ where friends have access to your private members !
you got it right. But when I was in High School, i used the same trick to prove 2=1 to my friends and most of my friends were unable to find where the trick was. It took them some time to figure out the trick. :)
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
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This is something that i received in mail. very intresting. And I am sorry if this is a repost. :) Can U Prove 3=2?? Here is Proof for 3=2 from Ramanujam. This seems to be an anomaly or whatever u call in mathematics.It seems, Ramanujam found it but never disclosed it during his life time and that it has been found from his dairy. See this illustration: -6 = -6 9-15 = 4-10 adding 25/4 to both sides: 9-15+(25/4) = 4-10+(25/4 ) Changing the order 9+(25/4)-15 = 4+(25/4)-10 (this is just like : a square + b square - two a b = (a-b)square. ) Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S. So it can be expressed as follows: (3-5/2)(3-5/ 2) = (2-5/2)(2-5/ 2) Taking positive square root on both sides: 3 - 5/2 = 2 - 5/2 3 = 2 ANY FLAWS??????? ???????
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
:omg:Thats what makes the difference between interpreneurs(sp) and non interprenuers(sp).
0 errors: 0 warnings: 0 messsages
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This is something that i received in mail. very intresting. And I am sorry if this is a repost. :) Can U Prove 3=2?? Here is Proof for 3=2 from Ramanujam. This seems to be an anomaly or whatever u call in mathematics.It seems, Ramanujam found it but never disclosed it during his life time and that it has been found from his dairy. See this illustration: -6 = -6 9-15 = 4-10 adding 25/4 to both sides: 9-15+(25/4) = 4-10+(25/4 ) Changing the order 9+(25/4)-15 = 4+(25/4)-10 (this is just like : a square + b square - two a b = (a-b)square. ) Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S. So it can be expressed as follows: (3-5/2)(3-5/ 2) = (2-5/2)(2-5/ 2) Taking positive square root on both sides: 3 - 5/2 = 2 - 5/2 3 = 2 ANY FLAWS??????? ???????
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
Step 5: (3-5/2)^2 = (2-5/2)^2 => 1/2 ^2 = -1/2 ^2 From this, though, you can't say 1/2 = -1/2
cheers, Chris Maunder
CodeProject.com : C++ MVP
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This is something that i received in mail. very intresting. And I am sorry if this is a repost. :) Can U Prove 3=2?? Here is Proof for 3=2 from Ramanujam. This seems to be an anomaly or whatever u call in mathematics.It seems, Ramanujam found it but never disclosed it during his life time and that it has been found from his dairy. See this illustration: -6 = -6 9-15 = 4-10 adding 25/4 to both sides: 9-15+(25/4) = 4-10+(25/4 ) Changing the order 9+(25/4)-15 = 4+(25/4)-10 (this is just like : a square + b square - two a b = (a-b)square. ) Here a = 3, b=5/2 for L.H.S and a =2, b=5/2 for R.H.S. So it can be expressed as follows: (3-5/2)(3-5/ 2) = (2-5/2)(2-5/ 2) Taking positive square root on both sides: 3 - 5/2 = 2 - 5/2 3 = 2 ANY FLAWS??????? ???????
Regards, Vijay. God may not give us what we 'want', but he surely gives us what we 'need'.
vijay7173 wrote:
ANY FLAWS??????? ???????
Yes. Division by zero.
-- My disbelief is not a belief.
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As he explicitly said "Taking positive square root", sqrt(x^2) = |x| Therefore, |0.5| = |-0.5| which is clearly equivalent to -6=-6.
The positive square root does not mean taking the absolute value of the negative square root. 4 has to two roots +2 and -2. The positive square root of 4 is +2. 2 - 5/2 is not the positive square root it is the negative square root (2 - 2/5 = -1/2) the positive square root is +1/2 or 2/5 - 2 and the proof leaves 1/2 = 1/2. I see was I too slow typing see Chris below
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Step 5: (3-5/2)^2 = (2-5/2)^2 => 1/2 ^2 = -1/2 ^2 From this, though, you can't say 1/2 = -1/2
cheers, Chris Maunder
CodeProject.com : C++ MVP
Chris Maunder wrote:
Step 5: (3-5/2)^2 = (2-5/2)^2 => 1/2 ^2 = -1/2 ^2 From this, though, you can't say 1/2 = -1/2
Yup... he hand waved it by saying "Take the positive square root" but that's not a legal step.
Faith is a fine invention For gentlemen who see; But microscopes are prudent In an emergency! -Emily Dickinson
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Chris Maunder wrote:
Step 5: (3-5/2)^2 = (2-5/2)^2 => 1/2 ^2 = -1/2 ^2 From this, though, you can't say 1/2 = -1/2
Yup... he hand waved it by saying "Take the positive square root" but that's not a legal step.
Faith is a fine invention For gentlemen who see; But microscopes are prudent In an emergency! -Emily Dickinson
Well, you can say "Take the positive square root". But the positive square root of -1/2^2 is 1/2, not -1/2. So when you take the positive square root of x^2, you have to write |x| to ensure that it's the positive one.