Old 08-28-2008, 05:37 AM   #1 (permalink)
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Default Can 2 = 1?

Well, its back to school, and the first thing I learn from my math teacher is that 2 equals 1. He told the whole class to stop his proof if anyone can find a mathematical error. Well, no one did. Here's what he did:

Let A = B.
Multply both sides by A.
Now its: A^2 = AB.
Subtrace both sides by B^2.
Now its: A^2 - B^2 = AB - B^2.
When you factor it, it becomes: (A + B) (A - B) = B (A - B).
Simplify it, making it: A + B = B.
Now, since A = B, you can make it: B + B = B.
Now to simplify: 2B/B = B/B.
Anything divided by itself is one, so the final equation would be: 2 = 1.

I cannot find an error in this equation, so.. What the hell?
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Old 08-28-2008, 05:43 AM   #2 (permalink)
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Your in for a fun time in math this year.
allright, I think i got it. You should be able to substitute letters with numbers, and still stay true. (I haven't taken math in 2 months, so I might be completely wrong.)
So, we are gonna subsititute A and B with 1, because they are equal.
1=1
then multiply, stays the same.
1=1
here, the entire problem falls apart. even if we were to continue and subtract B-
0=0
No way to simplify or do anything, so the problem is false.
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Old 08-28-2008, 05:46 AM   #3 (permalink)
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you just reminded me why I hate maths
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Old 08-28-2008, 05:52 AM   #4 (permalink)
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Quote:
Originally Posted by Xynh View Post
Well, its back to school, and the first thing I learn from my math teacher is that 2 equals 1. He told the whole class to stop his proof if anyone can find a mathematical error. Well, no one did. Here's what he did:

Let A = B.
Multply both sides by A.
Now its: A^2 = AB.
Subtrace both sides by B^2.
Now its: A^2 - B^2 = AB - B^2.
When you factor it, it becomes: (A + (A - = B (A - .
Simplify it, making it: A + B = B.
Now, since A = B, you can make it: B + B = B.
Now to simplify: 2B/B = B/B.
Anything divided by itself is one, so the final equation would be: 2 = 1.

I cannot find an error in this equation, so.. What the hell?
Bold and on doesn't look right to me. How does B + A = B come to B + B = B. (Yes I am noting the fact A = B ..)
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Old 08-28-2008, 06:01 AM   #5 (permalink)
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why let A = B in the first place?

first of all, A cannot be B.
you're forcing A to be B. When really, they're Different and they cannot be the same.

which means you're forcing 2 to be 1 when really, they're different.

Ok, this makes no sense............but neither does that equation~!
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Old 08-28-2008, 06:06 AM   #6 (permalink)
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FFS i dont have school for another 6 days,

and changing what state the Equation is and then make that equal something that it couldn't do if it was a number is Easy and can be done with anything, my math teacher told me that, then he showed my how to make (100^12)^5 X (45000/54)^9 can equal 3 with out simplifying.

but, i fell asleep about have way through so i don't remember
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Old 08-28-2008, 06:07 AM   #7 (permalink)
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Quote:
Originally Posted by mysteryguy View Post
why let A = B in the first place?

first of all, A cannot be B.
you're forcing A to be B. When really, they're Different and they cannot be the same.

which means you're forcing 2 to be 1 when really, they're different.

Ok, this makes no sense............but neither does that equation~!
A can be B, if you make them equal each other like that, it just makes less sense and is unnecessarily more confusing than A = A.
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Old 08-28-2008, 06:13 AM   #8 (permalink)
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Quote:
Originally Posted by AbysmalGuilt View Post
Bold and on doesn't look right to me. How does B + A = B come to B + B = B. (Yes I am noting the fact A = B ..)
The reason I made B + A = B -> B + B = B is because A = B. There should be no problem changing B to A because, well, they're the same. You can change it to A + A = A. Why? Because A = B.

Or

Lets keep it B + A = B. And lets say A = 1. That means B should be 1 too. So its 1 + 1 = 1. Therefore 2 = 1.

Edit: @Mysteryguy, you can make A = B. They're just variables, not a set number.
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Old 08-28-2008, 06:13 AM   #9 (permalink)
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I see no error in the equation.
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Old 08-28-2008, 06:15 AM   #10 (permalink)
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Quote:
Originally Posted by Xynh View Post
The reason I made B + A = B -> B + B = B is because A = B. There should be no problem changing B to A because, well, they're the same. You can change it to A + A = A. Why? Because A = B.

Or

Lets keep it B + A = B. And lets say A = 1. That means B should be 1 too. So its 1 + 1 = 1. Therefore 2 = 1.
if your going to make A=1, make it 1 for the whole equation. that would also mean B=1, since A=B. go back to my post.
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