1 = 2 ?!

[AltF4]

Mathematics is undeniable!

Read at your own danger: The universe might explode!!!

Spoiler

If you're a math major, just smile and nod

NEW ONE
x^2 + x + 1 = 0
x^2 = -x - 1
Divide by x (assume x is not 0)
x = -1 - 1 / x

Substituting the last expression for x in the original equation we get:
x^2 + ( x ) + 1 = 0
x^2 + ( -1 - 1 / x ) + 1 = 0
x^2 + ( -1 / x) = 0
x^3=1
x=1

Substituting x=1 in the original equation yields:
1^2 + 1 + 1 = 0
3 = 0


a = b
a^2 = a*b
a^2-b^2 = a*b-b^2
(a+b)(a-b) = b(a-b)
(a+b) = b
a+a = a
2a = a
2 = 1


-1 = (-1)^3 = (-1)^ (6/2) = ((-1)^6)^(1/2) = 1^(1/2) = 1


-20 = -20
25 – 45 = 16 - 36
5^2 – 5*9 = 4^2 – 4*9
5^2 – 5*9 + 81/4 = 4^2 – 4*9 + 81/4
(5 – 9/2)^2 = (4 – 9/2)^2
(5 – 9/2) = (4 – 9/2)
5 = 4


Let x = 1 – 1 + 1 – 1 + 1 …
X = (1 – 1) + (1 – 1) + (1 – 1) +…
X = 0 + 0 + 0 + …
X = 0
Let x = 1 – 1 + 1 – 1 + 1 …
X = 1 + (-1 + 1) + (-1 + 1) + (-1 + 1) …
X = 1 + 0 + 0 + 0 + 0…
X = 1
Thus,
1 = 0


Let x = 1 + 1 + 1 + … + 1 ( x many times)
Multiply by x
x^2 = x + x + x + … + x
Take the derivative of both sides
2x = 1 + 1 + 1 + … + 1
2x = x
2 = 1


a + b = c
4a - 3a + 4b - 3b = 4c - 3c
4a + 4b - 4c = 3a + 3b - 3c
4 * (a+b-c) = 3 * (a+b-c)
4 = 3


And probably more to come as I remember them.

Spoiler

Source: Wikipedia for some. Most I just remember. I tutor math and I like showing my students these.

 

[Armygeddon Bomb]

Hmm... I recalled this at my Algebra class. It is a truly interesting equation.

 

[flicker]

I got throught he first one, and I just stopped.

I remember my friend had somehting like this except with 1 = 0.

 

[flicker]

A dif 1 = 0 than yours i meant.

wait, isn't your first part of the 1 = 0 wrong? because you cant just assume parenthesis. you have to go step by step meaning the first two numbers then yu completely write it out again doing the first two numbers in that equation (formally 1and2 and 3.)

 

[Lixivium]

Edit: Removed by request of topic poster

Don't trust those equations! They lie!!

 

[Tom]

Here are a few proofs that everyone will enjoy! Enlightening!

Spoiler

If you're a math major, just smile and nod

Off the top of my head: (no references)

#1:

Spoiler

You can't divide by (a - b) because (a - b) = zero!

#4:

Spoiler

You can't forget about the dx after you take the derivative (Chain Rule FTW). The only way to get rid of it is to divide both sides by dx, which is zero again!

Do what the good man says, just smile and nod.

I love proofs like these, especially when you are able to show them to someone and then watch them figure them out.

 

[flicker]

read next post

 

[AltF4]

and on -1 and 1 you can't speparate a power like that. because instead of doing a number to the power of three you are doing a number to the power of 6 then 1/2.

What are you talking about?! The math is undeniable! You can't seriously think you can win versus math!!!

Spoiler

Yes, actually you can separate the powers like that. .

 

[Jayferd]

Here are a few proofs that everyone will enjoy! Enlightening!

Spoiler

If you're a math major, just smile and nod

Read at your own danger: The universe might explode.

a = b
a^2 = a*b
a^2-b^2 = a*b-b^2
(a+b)(a-b) = b(a-b)
(a+b) = b
a+a = a
2a = a
2 = 1

Spoiler

lolz, if a = b, then a-b = 0, so...

*smiles and nods*

 

[Xsyven]

Spoiler

Look at me! I'm cool because I use spoiler tags!

Math is broken! I seriously can't look at it and just smile like you guys do. I really hate math.

 

[Lixivium]

Spoiler

Integers are DEFINITELY differentiable. The derivative of any integer (even infinity) is zero!

 

[flicker]

oh you're right that wasnt the problem. i feel quite stupid XD

 

[AltF4]

Spoiler

1st: Infinity is not an integer. 2nd The derivative of any CONSTANT is zero, not the derivative of any integer. 3rd In order to take the derivative of a function, it must be continuous. The function f(x) = x where x is an integer is not continuous thus not diferentiable

 

[flicker]

Haha infinity as an integer.

 

[GoldShadow]

Ah come on people, stop explaining things in spoiler tags. Just smile and nod for god's sake.

 

[AltF4]

I know, seriously.

Spoiler

Lol, spoiler tags

 

[Shazz]

I won't smile for you number-perverts.

 

[commonyoshi]

Math after 7th grade is stupid. >_<
This is the first equation.

a^2-b^2 = a*b-b^2
(a+b)(a-b) = b(a-b)

Is this even legal? I dont know any mathemagical mumbo jumbo, but you can replace the "(a+b)" with anything you want like so because it would still end up being 0:

(100000a+b)(a-b)=b(a-b)
(100000a+b)=b
100000a+a=a
1000001=1

You cant cross cancel 0, can you? >_>

 

[AltF4]

That's just some basic 9th grade factoring. Nothing special or incorrect with the lines you've quoted me on.

Left hand side is the "Difference of perfect squares"

Right hand side just takes out a b.

Edit: ZOMG You can't argue with my proofs! They are perfect! Are you some kind of math-noob?! Mwua ahahaha!

 

[Lixivium]

Sorry, I meant to say "Constant", not "Integer"

edit: Nevermind about the continuity. I gotcha, but you can still take derivatives of discontinuous functions. It's just that you have a separate derivative for each interval, and in this case they all happen to be zero.

 

[Sinz]

Just smiling and nodding at mistakes.

 

[xyouxarexuglyx2]

Wow. This is cool. About when do you start learning this? (I'm going to 1st year HS, taking Geometry btw)

 

[AltF4]

Sorry, I meant to say "Constant", not "Integer"

And how is f(x) = x, where x is an integer, not continuous? An integer is still a constant, and the derivative of a constant is still zero.

Go and plot it on a calculator. It's not continuous.

Wow. This is cool. About when do you start learning this? (I'm going to 1st year HS, taking Geometry btw)

Maybe about Algebra 2 (Some schools call it Algebra 3-4). Some of the proofs require calculus though. Although they don't exactly teach you this in class.

 

[Lixivium]

Edit: Removed by request of topic poster

 

[Lixivium]

Edit: Removed by request of topic poster

 

[flicker]

I love you AltF4.

 

[Sargent_Peach]

Smiling and nodding because I have no clue what is going on.

Spoiler

History major ftw!!!! every can understand history.

 

[WFL]

I showed these to about 10 different people during the school year and maybe 1 or 2 figured out that I was dividing by 0. The others were saying how does ab equal a^2 or how do you know a=b. If you ever read the book "Biography of Zero" you'll see this and a lot of other math tidbits. It also proves Winston Churchill is a carrot.

 

[Schweppes]

Smile, nod, etc. Math <3

 

[flicker]

I still love you AltF4

 

[KevinM]

Pretty cool

Its the same thing as .999____= 1

Thats fun

 

[vZakat]

This topic is so awsome.

Spoiler

I'm only a math minor, so I only half understand it. XD

 

[mark.]

1. -1/1 = 1/-1
2. Taking the square root of both sides: (-1/1)^.5=(1/-1)^.5
3. Simplifying: (-1)^.5/(1)^.5=(1)^.5/(-1)^.5
4. or, i/1=1/i
5. therefore, i/2=1/(2i)
6. i/2 + 3/(2i) = 1/(2i) + 3/(2i)
7. i (i/2 + 3/(2i) ) = i ( 1/(2i) + 3/(2i) )
8. (i^2)/2+(3i)/2i=i/(2i)+(3i)/2i)
9. (-1)/2+3/2=1/2+3/2
10. 1=2

Spoiler

i'm 15. cut me some slack plx i tried ;x LOL

 

[pikachun00b7]

Since I'm 13, no slack for you!

1. -1/1 = 1/-1
2. Taking the square root of both sides: (-1/1)^.5=(1/-1)^.5
3. Simplifying: (-1)^.5/(1)^.5=(1)^.5/(-1)^.5
n00b! SQRT-(a/b) does not equal SQRT- A/ SQRT-B

4. or, i/1=1/i
5. therefore, i/2=1/(2i)
You are getting your fractions wrong.
If a/xb=b/xa then b=a. However, i does not equal +1.

10. 1=2
..................................................................................................

i'm 15. cut me some slack plx i tried ;x LOL

Phailure!

 

[AltF4]

Pretty cool

Its the same thing as .999____= 1

Thats fun

Umm, lol. No it's not. .999 repeating really is equal to 1. Look it up.

 

[mathos]

Mathos <3's Math. Especially math mindgames!

 

[Lixivium]

3. Simplifying: (-1)^.5/(1)^.5=(1)^.5/(-1)^.5
n00b! SQRT-(a/b) does not equal SQRT- A/ SQRT-B

That's not what he did. The square root of a fraction is equal the sqrt of the numerator over the sqrt of the denominator. That's perfectly legal.

4. or, i/1=1/i
5. therefore, i/2=1/(2i)
You are getting your fractions wrong.
If a/xb=b/xa then b=a. However, i does not equal +1.

Uh, no he's not. He just divided both sides by 2.

Edit: He didn't screw up step 3 or step 5. But there is one equation that's blatantly wrong.

If you're 13 why do you have Faraday's Law in your signature?

 

[AltF4]

That's not a bad one, Mark. It's pretty convincing and looks sound at a first read, which is all that matters. Give him some slack indeed.

Maybe I'll make a guide on how to write your own 1=2 proofs.

PS: Faraday's Law lol.

 

[flicker]

Wow. If he's 13 and knows that, I'll get a 2690 on the SAT this year.

 

[Creo]

Edit: Nevermind. . .