for 0.9... = 1 true believers

[TridenT]

Originally posted by: So

Originally posted by: PlasmaBomb

Originally posted by: Epic Fail

Originally posted by: Kyteland

Originally posted by: scott
GodlessAstronomer Drove Me To It

a = b

ab = b^2

ab - b^2 = a^2 - b^2

b(a - b) = (a + b)(a - b)

b = a + b

b = b + b

b = 2b

1 = 2

ha ha ha lol . If true then 0.9... = 1




(who'll be first to point "it" out and win a gold star for their forehead?)

Does not compute.

Still fail after the edit.

OK...

ab = b^2 Right?

so ab - b^2 = 0

a = b

Therefore a^2 = b^2

a^2 - b^2 = 0

0 = 0 Right?

Therefore

ab - b^2 = a^2 - b^2 (since 0 = 0)

The problem is, a valid proof requires every step to be explicitly stated.

Explain what you mean for us morons.

 

[So]

Originally posted by: TridenT

Originally posted by: So

Originally posted by: PlasmaBomb

Originally posted by: Epic Fail

Originally posted by: Kyteland

Originally posted by: scott
GodlessAstronomer Drove Me To It

a = b

ab = b^2

ab - b^2 = a^2 - b^2

b(a - b) = (a + b)(a - b)

b = a + b

b = b + b

b = 2b

1 = 2

ha ha ha lol . If true then 0.9... = 1




(who'll be first to point "it" out and win a gold star for their forehead?)

Does not compute.

Still fail after the edit.

OK...

ab = b^2 Right?

so ab - b^2 = 0

a = b

Therefore a^2 = b^2

a^2 - b^2 = 0

0 = 0 Right?

Therefore

ab - b^2 = a^2 - b^2 (since 0 = 0)

The problem is, a valid proof requires every step to be explicitly stated.

Explain what you mean for us morons.

In between the second and third (the bolded) lines he substitutes a^2 in place of b^2, otherwise it would be b^2 - b^2 which is blatantly obviously zero.

 

[OCGuy]

Ill be in the beer thread if anyone needs me.

 

[So]

Originally posted by: OCguy
Ill be in the beer thread if anyone needs me.

:beer: cheers.

 

[PlasmaBomb]

Originally posted by: PlasmaBomb

ab - b^2 = a^2 - b^2 (since 0 = 0)

For tridentboy -

To get to the next line you simplify

LHS b is a common term so (ab - b^2) is the same as the function b(a-b), multiply out the brackets if you need to

RHS a+b is a common term so a^2 - b^2 = (a+b)(a-b)

equation is b(a-b) = (a+b)(a-b)

to get to the next line you divide both sides by (a-b) since it is common - this is where it goes wrong since a = b, and a-a = 0

Divide by zero error

b = a + b

 

[WildHorse]

``

 

[hanoverphist]

Originally posted by: scott


b = b + b

b = 2b

i saw the !div0 but kept getting hung up on this part... 1+1 is 2, but 2b is 2*b which would be 1 anyway. you put the solution into the equation as a multiplier.

 

[PlasmaBomb]

Originally posted by: frostedflakes

Originally posted by: mchammer187

Originally posted by: Kyteland

Originally posted by: PlasmaBomb
That line is fine it is essentially

b^2 - b^2 = b^2 - b^2

I'm saying it doesn't follow from his second line.

subtract b^2 from both sides and then do a substitution of b^2 -> a^2 on the right

You can't do that, though. If you do something to one side you have to do it to the other.

You are forgetting that a^2 = b^2

so you are doing the same to each side...

 

[PlasmaBomb]

Originally posted by: So

Originally posted by: TridenT

Originally posted by: So

Originally posted by: PlasmaBomb

Originally posted by: Epic Fail

Originally posted by: Kyteland

Originally posted by: scott
GodlessAstronomer Drove Me To It

a = b

ab = b^2

ab - b^2 = a^2 - b^2

b(a - b) = (a + b)(a - b)

b = a + b

b = b + b

b = 2b

1 = 2

ha ha ha lol . If true then 0.9... = 1




(who'll be first to point "it" out and win a gold star for their forehead?)

Does not compute.

Still fail after the edit.

OK...

ab = b^2 Right?

so ab - b^2 = 0

a = b

Therefore a^2 = b^2

a^2 - b^2 = 0

0 = 0 Right?

Therefore

ab - b^2 = a^2 - b^2 (since 0 = 0)

The problem is, a valid proof requires every step to be explicitly stated.

Explain what you mean for us morons.

In between the second and third (the bolded) lines he substitutes a^2 in place of b^2, otherwise it would be b^2 - b^2 which is blatantly obviously zero.

That bit trident in case you haven't noticed...

 

[PlasmaBomb]

Originally posted by: scott

Originally posted by: TridenT


Explain what you mean for us morons.

It means it's wrong because, as our winner mchammer187 pointed out above, the "proof" requires you to divide by zero.

sort of like the fraudulent claim 0.9... = 1

:sun:

0.999... = 1

is not fraudulent

False proofs

^
|
|
|
See not on that page

 

[datalink7]

This again?

Since we are doing this again, we may as well visit a related joke.

It's really funny. Read all the way to the end!
<snip> :| I can't remember... did it get written that reposting this is vacationable for being extra annoying? -Anandtech Moderator DrPizza
Jack took a firmer grip on the steering wheel as the RV ran up on the stone.
Shouting to Sammy as he pulled the steering wheel, "BETTER NATE THAN LEVER,"
he ran over the snake.

THE END

 

[PlasmaBomb]

And now back to friday night :beer::beer::beer:

 

[PlasmaBomb]

Originally posted by: datalink7
This again?

BAN ME NAO!

THE END

Fixed.

 

[halik]

Originally posted by: scott
GodlessAstronomer Drove Me To It

a = b

ab = b^2

ab - b^2 = a^2 - b^2

b(a - b) = (a + b)(a - b)

b = a + b

b = b + b

b = 2b

1 = 2

ha ha ha lol . If true then 0.9... = 1




(who'll be first to point "it" out and win a gold star for their forehead?)

Cannot divide by zero

proof

 

[frostedflakes]

TL;DR

 

[OCGuy]

bulk

 

[IHateMyJob2004]

Originally posted by: scott
GodlessAstronomer Drove Me To It

a = b

ab = b^2

ab - b^2 = a^2 - b^2

b(a - b) = (a + b)(a - b)

b(0) = (a+b)(0)[/b] (since a-b must always equal 0)

0 = 0

b = a + b

b = b + b

b = 2b

1 = 2

ha ha ha lol . If true then 0.9... = 1




(who'll be first to point "it" out and win a gold star for their forehead?)

Inserted the part people tend to ignore. (a-b) always equates to ZERO! The flaw in this bullshit formula.

 

[PlasmaBomb]

Originally posted by: halik

Originally posted by: scott
GodlessAstronomer Drove Me To It

a = b

ab = b^2

ab - b^2 = a^2 - b^2

b(a - b) = (a + b)(a - b)

b = a + b

b = b + b

b = 2b

1 = 2

ha ha ha lol . If true then 0.9... = 1




(who'll be first to point "it" out and win a gold star for their forehead?)

Cannot divide by zero

proof

To slow.

 

[sao123]

Originally posted by: feralkid
The plane takes off.

 

[WildHorse]

``

 

[AyashiKaibutsu]

Originally posted by: scott
GodlessAstronomer Drove Me To It

a = b

ab = b^2

ab - b^2 = a^2 - b^2

b(a - b) = (a + b)(a - b)

b = a + b

b = b + b

b = 2b

1 = 2

ha ha ha lol . If true then 0.9... = 1




(who'll be first to point "it" out and win a gold star for their forehead?)

You divided by zero... OH SHI-