In some part of this forum there was a link to silly math proofs such as 10 = 0, 2 = 1, 3 = 4 and so on. I've slightly modified one of those proofs in order to make it tricky to figure out what is wrong.(adsbygoogle = window.adsbygoogle || []).push({});

first of all, A --> B so A and B are almost equal. IIRC, ~ means something like almost equal so I will use it to relate the two.

A ~ B then multiply both sides by A

A^2 ~ AB then subtract B^2 from both sides

A^2 - B^2 ~ AB - B^2 then we factor both sides

(A + B) * (A - B) ~ B * (A - B) now divide both sides by (A - B)

A + B ~ B since A and B are almost equal, let's half ass simplify

B + B ~ B combine like terms

2B ~ B factor out B

2 ~ 1 what the heck?

At the step where both sides are divided by A - B, that isNOTa divide by 0 error. Since A and B are not exactly equal, that operation was perfectly legal.

So where is the flaw here?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Silly proof that 2 = 1? wtf?

**Physics Forums | Science Articles, Homework Help, Discussion**