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4=3 .. Is It Correct?


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Consider a-b=c.

We can put the equation as..

4a-3a+3b-4b=4c-3c

Rearranging,

4a-4b-4c=3a-3b-3c

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

Cancelling out factor term (a-b-c).

4=3, hence proved.

 

Is there any mistake.. or is it correct? :P

Find out any error and comment or else you agree that 4=3 from now on! :lol:

 

 

 

Found this on brilliant.org, it's a fun problem.

 

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You said "a-b=c". Rearrange "c" and you get a-b-c = 0

a-b-c=0, therefore 4(a-b-c) = 4x0 = 0 and 3(a-b-c) = 3x0 = 0

It's a fun problem, though, do you have more?

Edited by jokersus.cava
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You said "a-b=c". Rearrange "c" and you get a-b-c = 0

a-b-c=0, therefore 4(a-b-c) = 4x0 = 0 and 3(a-b-c) = 3x0 = 0

This ^

 

You're basically cancelling 0 from both sides, which doesn't work.

It's not 4 = 3, it's actually 4 x 0 = 3 x 0, which is correct.

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Zenith - same thing can be done (it'll be wrong, but it's the same logic fallacy) with exponents:

 

3^0 = 1 = 4^0

 

Get the 0th root out of everything, and: 3 = 1 = 4.

 

 

Your mistake is that many algebra techniques don't apply to 0. Taking roots out of equations' sides, factoring, dividing, and many more. 0 can't be a factor.. Common sense can tell you the same.

 

 

 

 

Well, 4 to the power of 0 = 3 to the power of 0, so maybe...

?

 

According to that, all real numbers (and perhaps imaginary too) are the same. I mean, any real number other than zero equals one when raised to the power of zero.

 

 

 

In fact - to all the math geeks around, I have a question to which I haven't ever found a clear answer, and I like debating about: What's i to the power of 0?

Edited by ariking777

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Zenith - same thing can be done (it'll be wrong, but it's the same logic fallacy) with exponents:

 

3^0 = 1 = 4^0

 

Get the 0th root out of everything, and: 3 = 1 = 4.

 

 

Your mistake is that many algebra techniques don't apply to 0. Taking roots out of equations' sides, factoring, dividing, and many more. 0 can't be a factor.. Common sense can tell you the same.

 

 

 

 

?

 

According to that, all real numbers (and perhaps imaginary too) are the same. I mean, any real number other than zero equals one when raised to the power of zero.

 

 

 

In fact - to all the math geeks around, I have a question to which I haven't ever found a clear answer, and I like debating about: What's i to the power of 0?

(I)^0 = (-1)^1/2.0 =1

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You said "a-b=c". Rearrange "c" and you get a-b-c = 0

a-b-c=0, therefore 4(a-b-c) = 4x0 = 0 and 3(a-b-c) = 3x0 = 0

It's a fun problem, though, do you have more?

Yah you're correcto. If we do 0÷0 it becomes indeterminate. I'll try to find more problems. ;)

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Consider a-b=c.

We can put the equation as..

4a-3a+3b-4b=4c-3c

Rearranging,

4a-4b-4c=3a-3b-3c

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

Cancelling out factor term (a-b-c).

4=3, hence proved.

 

Is there any mistake.. or is it correct? :P

Find out any error and comment or else you agree that 4=3 from now on! :lol:

 

 

 

Found this on brilliant.org, it's a fun problem.

 

 I dont understand wht u said but, in 3 there are four letters. T H R E E. so 4=3 maybe.  :mellow:

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Another one is proving 1=2

 

  • Let a = b
  • a^2 = ab
  • a^2 - b^2 = ab - b^2
  • (a+b.)(a-b.) = b(a-b.)
  • a+b = b
  • But as a=b, 2b = b
  • Hence, 2=1 #proved

 

Note: I put the dot between b and ) in "b.)" or it turns into b)...

Edited by suhas_best

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Another one is proving 1=2

 

  • Let a = b
  • a^2 = ab
  • a^2 - b^2 = ab - b^2
  • (a+b.)(a-b.) = b(a-b.)
  • a+b = b
  • But as a=b, 2b = b
  • Hence, 2=1 #proved

Note: I put the dot between b and ) in "b.)" or it turns into b)...

Yeah thats similar. You cancelled a-b which is actually 0. :lol:

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omg you people can't even understand math i could say 10000= 5 if i wanted to

there are several answers that can be made such as what you guys said

what he said is not wrong because you can cancel it but also he can say 1=0 :O

Edited by canadarules

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