how is 1=2 is it possible?

Question

my techer told me it is possible but i dont know how to prove it.

Answer 1

let a = b


a² = ab

Multiply both sides by a
a² + a² - 2ab = ab + a² - 2ab

Add (a² - 2ab) to both sides
2(a² - ab) = a² - ab

Factor the left, and collect like terms on the right
2 = 1

Divide both sides by (a² - ab)

Answer 2

***how is 1=2 is it possible?
my techer told me it is possible but i dont know how to prove it.***

It really depends on what the teacher was talking about. Mathematically speaking one can never be equal to two, that's an impossibility
for sure, mathematically speaking. I suspect
he meant something else or is joking you.

Have a good day.

Answer 3

Cut an apple in half you have two parts which make a whole apple one apple.
Must be like interest from a bank when you take out a loan the interest is calculated by a formula that constantly builds but when you put money in the bank the interest is calculated by a formula that gives a lower yield than the loan formula that also hits a plateau and stays there.

Answer 4

Note that the algebra "answers" above divide by (a-b). Since a=b this is dividing by zero and not allowed, so these answers "prove' nothing.

So theoretically there are ways to show 1=2 but we all know logically that this isn't true.

Answer 5

Your teacher is apparently wrong.

"1=2: A Proof using Complex Number"
http://www.math.toronto.edu/mathnet/plain/falseProofs/second1eq2.html

The supposed proof is invalid, and that page explains why. This is just a mathematical urban legend.

JMB

Answer 6

a = b
a^2 = a*b
a^2-b^2 = a*b-b^2
(a+b)(a-b) = b(a-b)
(a+b) = b
a+a = a
2a = a
2 = 1

Answer 7

1 squared

Answer 8

It happems all the time at a BOGO promotion.

Buy One & Get One Free = Two

If your teacher wants proof, show your teacher your receipt.

Answer 9

there is a formula to make this work, but I don't remember it. I thin it's based on the idea that 1whole is the same as 2halves (I could be completely wrong there though)

Answer 10

One whole equals 2 halves.