Question

Prove
2 = 3 .
( using algebraic equations )

Answer 1

There are a lot
2 * 0 = 3 * 0
0 = 0

Therefore 2 = 3

Answer 2

But none of these are true.

Answer 3

The number '0' shouldn't really be used in isolation.

Answer 4

Dividing 0 ===> Undefined
Multiplying 0 ===> Gives us a = b where a \(\ne\) b
Subtracting and adding 0 ====> no need to subtract or add zero as that serves nothing

Answer 5

Anyone any other method please

Answer 6

We can prove 2 \(\ne\) 3 btw

Answer 7

2^0 = 3^0

Answer 8

^ lol another example of not using 0 in isolation

Answer 9

TWO = 3
3 letters = 3

One of the joke methods

Answer 10

2 = a number
3= a number

2=3

Answer 11

a + a = a
a + a + a = a + a
3a = 2a
3 = 2

Answer 12

is there any method of solving it by this method

Answer 13

There are a lot of the joke proofs related to assumption, but they all involve operations of the number 0.

Answer 14

????

Answer 15

http://www.astahost.com/info/tiiiss-ramanujams-proof-flaws.html This is a proof from a very famous Indian Mathematician that has flaws.

Answer 16

The flaw here is that when a^2 = b^2, then a is not necessarily = b

Answer 17

Why so? Because we have negative square roots :D
Take -8 and 8 as a and b.

\((8)^2 = 8^2\)
But
\(-8 \ne 8\)

Answer 18

If you're looking through false algrebraeic proofs, they almost all involve one of the two mistakes:
Division by 0
\[\sqrt{1}=1\]

Answer 19

\[i=\sqrt{-1}=\sqrt{\frac{-1}{1}}=\sqrt{\frac{1}{-1}}=\frac{\sqrt{1}}{\sqrt{-1}}=\frac{1}{i}=-i\]

so \[i=-i\Rightarrow 1=-1\]

so

\[2=0\]

divide by 2

\[1=0\]

add 2 to both sides

\[3=2\]

Answer 20

lol there are a lot of proofs like these. :P

Answer 21

let a = b
ab = b^2
ab - a^2 = b^2 - a^2
a(b-a) = (b+a)(b-a)
a = b + a
a + a = b + a + a
a + a = a + a + a
2a = 3a
2 = 3

Answer 22

Good one, Zarkon =)
The error of course being: \[\sqrt{1}=1\]

Answer 23

no "good one, lgba =)"? :(

Answer 24

Thanks Os users.

Answer 25

thank you

Answer 26

Good one, lgba. The mistake of course being at this step
a(b-a) = (b+a)(b-a)
a = b + a
You divided by (b-a), but since a=b, b-a =0
Division by 0 makes me a sad panda.

Answer 27

thanks every one & @lgbasallote

Answer 28

<tips hat>