Hi,

 

 

 

I'm going to proove to ya all that 1 = 2. I've made the statement with somebody else off another forum, in dutch so it's going to be hard to translate it in english, but i'll try. :wink:

 

 

 

We presume that x = y ( if we wanna proove that 1 = 2 )

 

 

 

 

 

 

 

xÃÆââ¬Å¡Ãâò-yÃÆââ¬Å¡Ãâò=(x-y)(x+y) ontbind in factors ( dutch ppl help me on this one pls :lol: )

 

 

 

if u calc that u get

 

 

 

x.x-y.y=(x-y)(x+y)

 

 

 

Becouse we've said that x = y:

 

 

 

x.y-y.y=(x-y)(x+y)

 

 

 

we put y outside, becouse it's in both parts of our calculation ( :lol: )

 

 

 

y(x-y)= (x-y)(x+y)

 

 

 

What's between ( ) in the left part ( so it's (x-y) ) we put in the right part

 

 

 

y=[(x-y)(x+y)]/(x-y)

 

 

 

We can ' delete ' (x-y) becouse u find it up and under in our calculation

 

 

 

y=x+y

 

 

 

We said that x=y so

 

 

 

y=y+y

 

 

 

If u calc y+y u get

 

 

 

y=2.y

 

 

 

Y is in both parts, so we can throw it away :lol:

 

 

 

1=2

 

 

 

 

 

 

 

Kthnx :P

 

 

 

Btw; i don't know anything about math terms in english, so dutch ppl who can english, PM me with the faults :P)

 

 

 

 

 

 

 

NEXT ONE:

 

 

 

 

 

 

 

If today was yesterday, then tomorrow is today. So yesterday and today are the same?

Quite odd, I didn't really look carefully over it, i'm at a m8's house right now and his monitor twitches so reading anything gives you a headache. I'll check back when i get home tho..

You divide by (x-y) since x=y you're dividing by (x-x)=0 which is, as we all know not allowed ;)

 

 

 

Basically you're saying 2*0=1*0 which is true. then you divide by 0 and end up with 2=1.

 

 

 

 

 

 

 

Sorry to give the answer so soon :P

 

 

 

 

 

 

 

While we're at it, I'll add another need trick with numbers that's actually correct.

 

 

 

 

 

 

 

0.9 repeating = x (=0.999999999999...)

 

 

 

10x=9.9 repeating (=9.9999999999...)

 

 

 

10x=9+x

 

 

 

9x=9

 

 

 

x=1=0.9 repeating

You divide by (x-y) since x=y you're dividing by (x-x)=0 which is, as we all know not allowed ;)

 

 

 

 

 

 

 

Sorry to give the answer so soon :P

 

 

 

 

 

 

 

Thank u for ruining my topci :lol: :wink:

 

 

 

 

 

 

 

I'll post some other weird statements then

try this, it = 1. anyone good at math will know why

 

 

 

 

 

 

 

pi X pi /(divide) pi X pi

 

 

 

 

 

 

 

it's obvious it =1 :D

Cheeseh is tet smart for tet tip.it fora! :lol:

try this, it = 1. anyone good at math will know why

 

 

 

 

 

 

 

pi X pi /(divide) pi X pi

 

 

 

 

 

 

 

it's obvious it =1 :D

 

 

 

 

 

 

 

Nope

 

 

 

U say that Pi x pi / pi x pi = 1

 

 

 

It's 2pi! Look, pi x pi / pi x pi = pi x pi / pi + pi x pi / pi = pi + pi = 2Pi

 

 

 

 

 

 

 

8)

I quit maths a month ago when I finished my last A2 exam. I'll be blowed if I'm doing more.

Whoa, I didnt understand jack of that :oops:

 

try this, it = 1. anyone good at math will know why

 

 

 

 

 

 

 

pi X pi /(divide) pi X pi

 

 

 

 

 

 

 

it's obvious it =1 :D

 

 

 

 

 

 

 

Nope

 

 

 

U say that Pi x pi / pi x pi = 1

 

 

 

It's 2pi! Look, pi x pi / pi x pi = pi x pi / pi + pi x pi / pi = pi + pi = 2Pi

 

 

 

 

 

 

 

8)

 

 

 

 

 

 

 

Actually, no.

 

 

 

 

 

 

 

pi^2 / pi^2 = 1

 

 

 

 

 

 

 

In much the same way as:

 

 

 

 

 

 

 

pi^5 / pi^5 = 1

 

 

 

 

 

 

 

Remember that a number divided by itself always equals 1.

I'll be blowed if I'm doing more.

 

 

 

 

 

 

 

If that was the case, i'm sure we'd all be doing math right now ;)

i think I just figured out why I failed math this year...

You divide by (x-y) since x=y you're dividing by (x-x)=0 which is, as we all know not allowed ;)

 

 

 

Basically you're saying 2*0=1*0 which is true. then you divide by 0 and end up with 2=1.

 

 

 

 

 

 

 

Sorry to give the answer so soon :P

 

 

 

 

 

 

 

While we're at it, I'll add another need trick with numbers that's actually correct.

 

 

 

 

 

 

 

0.9 repeating = x (=0.999999999999...)

 

 

 

10x=9.9 repeating (=9.9999999999...)

 

 

 

10x=9+x

 

 

 

9x=9

 

 

 

x=1=0.9 repeating

 

 

 

 

 

 

 

Another way to do that...

 

 

 

 

 

 

 

1/3 = .3 repeating

 

 

 

1/3 * 3 = 3/3

 

 

 

.3 repeating * 3 = .9 repeating

 

 

 

.9 repeating = 3/3 = 1

 

 

 

 

 

 

 

:P Nice topic.

 

I'll be blowed if I'm doing more.

 

 

 

 

 

 

 

If that was the case, i'm sure we'd all be doing math right now ;)

 

 

 

 

 

 

 

Ha bloody ha. So much for family friendly boards ;)

 

 

try this, it = 1. anyone good at math will know why

 

 

 

 

 

 

 

pi X pi /(divide) pi X pi

 

 

 

 

 

 

 

it's obvious it =1 :D

 

 

 

 

 

 

 

Nope

 

 

 

U say that Pi x pi / pi x pi = 1

 

 

 

It's 2pi! Look, pi x pi / pi x pi = pi x pi / pi + pi x pi / pi = pi + pi = 2Pi

 

 

 

 

 

 

 

8)

 

 

 

 

 

 

 

Actually, no.

 

 

 

 

 

 

 

pi^2 / pi^2 = 1

 

 

 

 

 

 

 

In much the same way as:

 

 

 

 

 

 

 

pi^5 / pi^5 = 1

 

 

 

 

 

 

 

Remember that a number divided by itself always equals 1.

 

 

 

 

 

 

 

I think he was trying to go for the order-of-operations argument. That the original thing wasn't pi^2/pi^2, but rather (pi^2/pi) x pi. In which case the final answer would be pi^2, not 2pi.

 

 

 

 

 

 

 

And nice job working out the error on the original problem, btw, KnightLite!

 

 

 

 

 

 

 

Dittos: Today WAS yesterday, whereas tomorrow (from yesterday's perspective) IS today. Note the different tenses. "Is" is not the same as =. Thus, today is neither yesterday nor tomorrow, but simply today :D

The flaw in the 1=2 is that you only proved that 1x = 2y, so you can only get 1=2 if you assume that x=y.. It's like circular reasoning or something. I can't explain it flawlessly, but I beleive that's the error.

Well 1/3 = 0.333333... but 0.333333... x 3 does not equal 1.

:shock: ......... I hate math...

The flaw in the 1=2 is that you only proved that 1x = 2y, so you can only get 1=2 if you assume that x=y.. It's like circular reasoning or something. I can't explain it flawlessly, but I beleive that's the error.

 

 

 

 

 

 

 

Yeah, I think they're called Logical Fallacys. They can be true logically, but they can't be proved. An example: Kenny lies whenever he says something. Kenny says something. Hence, you can assume he's lieing. I can't really explain the relevancy between that statement and the equation 1=2, but basically, it can be true, but only in one way. And in that one way, it's still not true. Basically an endless contridiction or proving it false or true, hence Circular Reasoning.

 

 

 

 

 

 

 

Guh, I don't think that made much sense, but neither does what I'm trying to explain.

 

The flaw in the 1=2 is that you only proved that 1x = 2y, so you can only get 1=2 if you assume that x=y.. It's like circular reasoning or something. I can't explain it flawlessly, but I beleive that's the error.

 

 

 

 

 

 

 

Yeah, I think they're called Logical Fallacys. They can be true logically, but they can't be proved. An example: Kenny lies whenever he says something. Kenny says something. Hence, you can assume he's lieing. I can't really explain the relevancy between that statement and the equation 1=2, but basically, it can be true, but only in one way. And in that one way, it's still not true. Basically an endless contridiction or proving it false or true, hence Circular Reasoning.

 

 

 

 

 

 

 

Guh, I don't think that made much sense, but neither does what I'm trying to explain.

 

 

 

 

 

 

 

And if Kenny says that he always lies, what are we to make of that? :P

 

 

 

 

 

 

 

Well 1/3 = 0.333333... but 0.333333... x 3 does not equal 1.

 

 

 

 

 

 

 

.33 repeating = 1/3

 

 

 

.33 repeating * 3 = 1/3 * 3, correct?

 

 

 

[.33 repeating * 3 = .99 repeating], and [1/3 * 3 = 3/3], which = 1 (brackets used for clarification)

 

 

 

So, .99 repeating = 3/3 = 1

 

 

 

 

 

 

 

So yes, .33 repeating does equal 1. :P

 

You divide by (x-y) since x=y you're dividing by (x-x)=0 which is, as we all know not allowed ;)

 

 

 

Basically you're saying 2*0=1*0 which is true. then you divide by 0 and end up with 2=1.

 

 

 

 

 

 

 

Sorry to give the answer so soon :P

 

 

 

 

 

 

 

While we're at it, I'll add another need trick with numbers that's actually correct.

 

 

 

 

 

 

 

0.9 repeating = x (=0.999999999999...)

 

 

 

10x=9.9 repeating (=9.9999999999...)

 

 

 

10x=9+x

 

 

 

9x=9

 

 

 

x=1=0.9 repeating

 

 

 

 

 

 

 

Another way to do that...

 

 

 

 

 

 

 

1/3 = .3 repeating

 

 

 

1/3 * 3 = 3/3

 

 

 

.3 repeating * 3 = .9 repeating

 

 

 

.9 repeating = 3/3 = 1

 

 

 

 

 

 

 

:P Nice topic.

 

 

 

 

 

 

 

2 more solutions: (1 easy, one not so)

 

 

 

 

 

 

 

1 = 1/3 + 1/3 + 1/3

 

 

 

Covert to decimal

 

 

 

1 = 0.999~ + 0.999~ + 0.999~

 

 

 

 

 

 

 

and

 

 

 

 

 

 

 

0.9 + 0.09 + 0.009.....

 

 

 

 

 

 

 

0.999~ is an infinite geometric progression so you can use the following formula (there is a long-ish proof for this that I will not put up here):

 

 

 

 

 

 

 

a / (1 - r)

 

 

 

 

 

 

 

in this equation a is the first term and r is the common multiple (what you multiply the progression each time to get to the next term) so:

 

 

 

a is 0.9 and r is 0.1 in this case

 

 

 

substituting in you get

 

 

 

0.9 / (1 - 0.1)

 

 

 

= 0.9 / 0.9

 

 

 

= 1

 

The flaw in the 1=2 is that you only proved that 1x = 2y, so you can only get 1=2 if you assume that x=y.. It's like circular reasoning or something. I can't explain it flawlessly, but I beleive that's the error.

 

 

 

 

 

 

 

Yeah, I think they're called Logical Fallacys. They can be true logically, but they can't be proved. An example: Kenny lies whenever he says something. Kenny says something. Hence, you can assume he's lieing. I can't really explain the relevancy between that statement and the equation 1=2, but basically, it can be true, but only in one way. And in that one way, it's still not true. Basically an endless contridiction or proving it false or true, hence Circular Reasoning.

 

 

 

 

 

 

 

Guh, I don't think that made much sense, but neither does what I'm trying to explain.

 

 

 

 

 

 

 

Oh, I know full-well what circular reasoning is. I was saying that I didn't know if circular reasoning would be a good explanation of the flaw in the equation..

 

 

 

 

 

 

 

And yeah, .9 repeating does equal 1.

.99 repeating doesn't neccessaryly mean it equals to one. It's so close that it might as well be one. The limit is so close to one that it might as well be one.

No, it is one. 1 - .9 repeating = 0. You can't have .0 repeating 1

 

 

The flaw in the 1=2 is that you only proved that 1x = 2y, so you can only get 1=2 if you assume that x=y.. It's like circular reasoning or something. I can't explain it flawlessly, but I beleive that's the error.

 

 

 

 

 

 

 

Yeah, I think they're called Logical Fallacys. They can be true logically, but they can't be proved. An example: Kenny lies whenever he says something. Kenny says something. Hence, you can assume he's lieing. I can't really explain the relevancy between that statement and the equation 1=2, but basically, it can be true, but only in one way. And in that one way, it's still not true. Basically an endless contridiction or proving it false or true, hence Circular Reasoning.

 

 

 

 

 

 

 

Guh, I don't think that made much sense, but neither does what I'm trying to explain.

 

 

 

 

 

 

 

Oh, I know full-well what circular reasoning is. I was saying that I didn't know if circular reasoning would be a good explanation of the flaw in the equation..

 

 

 

 

 

 

 

I know you know what circular reasoning is, it's just I was having a hand at trying to explain what you're talking about.