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2007-02-09 03:52:49 · 12 answers · asked by vish 1 in Science & Mathematics Mathematics

12 answers

Here is a (false) proof that 3 = 4. If 3 were really equal to 4, the entire mathematical foundation would crumble and centuries of math would be obliterated.

Let x = 1 and y = 1. It is clear that

x = y. Multiplying x to both sides, we get

x^2 = xy. Subtracting y^2 to both sides, we have

x^2 - y^2 = xy - y^2. Factoring both sides,

(x - y)(x + y) = y(x - y). Dividing both sides by (x - y), we have

x + y = y. Adding 2 to both sides,

x + y + 2 = y + 2. Substituting in back x = 1 and y = 1

1 + 1 + 2 = 1 + 2
4 = 3

2007-02-09 04:02:08 · answer #1 · answered by Puggy 7 · 2 1

well its not just 3 & 4, you can prove any 2 numbers to be equal by violating some laws. replace the numbers you want to be equal by examining the following.

say you want to prove 3 = 4

(3 + 4 )x(3 - 4) = 7 x (3 - 4)
3x3 + 4x3 - 3x4 - 4x4 = 7x3 - 7x4
3x3 + 3x4 - 7x3 = 4x3 + 4x4 - 4x7
3 ( 3 + 4 -7 ) = 4 ( 3 + 4 -7 )

cut off ( 3 + 4 - 7 ) on both sides

so now

3 = 4

you can actually do this with any two numbers :)

try substitutin 3,4 & 7 with respective numbers for an example .

say U want to prove 2 = 6
then replace 3 with 2
4 with 6
and 7 with 8

hope you understand :)
Enjoy


P.S = the trick is you cant cut the phrase ( 3 + 4 - 7 ) as it is 0 (zero) lol!!!

2007-02-09 04:27:57 · answer #2 · answered by CodeRed 3 · 0 0

3=4 is almost impossible. Unless you take 3 people, 2 males and 1 female. Have them engage in intercourse and produce 1. Thus you would have 3=4. Or aside from reproduction use an algebraic equation, where you solve for an unknown. 3?=4 Now you must solve for the unknown.

2007-02-09 04:15:57 · answer #3 · answered by Proud Momma of 4mth old Boy 3 · 0 0

yes i'll show you.

0^3=0^4
=>since bases are equal ,even the exponents should be equal.
since base 0=0. .there fore3=4.
thus actually talking is not right ,but a simple trick to solve this problem.got it!

2007-02-09 04:04:20 · answer #4 · answered by achyut s 1 · 0 0

12/3 =4

12 divided by 3= 4

2007-02-09 03:56:19 · answer #5 · answered by Anonymous · 0 1

It is possible if you use algebra.

You can show this by using this expression.

3x = 4y

Where x and y are unknown factors.

So, x = 4y/3 , and y = 3x/4

If x = 1, then you get

3 = 4y

So, y = 3/4

If y = 1, then you get

3x = 4

So, x= 4/3 or 1.1/3 (one and one-third).

2007-02-09 03:59:07 · answer #6 · answered by Think Richly™ 5 · 0 1

I think it is important to stress that "trick" in the proof is dividing by (x-y) which is equal to 0.

2007-02-09 04:03:38 · answer #7 · answered by Anonymous · 0 0

By violating the laws of nature and/or mathematics.

2007-02-09 03:55:34 · answer #8 · answered by Anonymous · 1 0

Highly convoluted algebra could'nt solve that one for you, sorry!!

2007-02-09 03:56:07 · answer #9 · answered by RobLough 3 · 1 0

by changing the mathematics rules :|

2007-02-09 04:40:44 · answer #10 · answered by GoRgEoUs Me 1 · 0 0

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