Question

prove that 1=2


who can ans​

Answer 1

Answer:

a = b

a+a = a+b

2a = a+b

2a-b = a+b-b

2a-b = a

2a-b-b = a-b

2a-2b = a-b

2(a-b) = (a-b)

2 = 1

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Answer 2

What if I was to tell you that I could prove that 1 + 1 is actually equal to 1. And that, therefore, 2 is equal to 1. Would you think I was kind of nuts? More like completely nuts? Probably. But nuts or not, these are exactly the things we'll be talking about today.

Of course, there will be a trick involved because 1 + 1 is certainly equal to 2…thank goodness! And, as it turns out, that trick is related to a very interesting fact about the number zero.

How does it all work? And what's the big ruse that the sneaky number zero is attempting to pull off? Keep on reading to find out!.

How to "Prove" That 2 = 1

Let's begin our journey into the bizarre world of apparently correct, yet obviously absurd, mathematical proofs by convincing ourselves that 1 + 1 = 1. And therefore that 2 = 1. I know this sounds crazy, but if you follow the logic (and don't already know the trick), I think you'll find that the "proof" is pretty convincing.

Here's how it works:

Assume that we have two variables a and b, and that: a = b

Multiply both sides by a to get: a2 = ab

Subtract b2 from both sides to get: a2 - b2 = ab - b2

This is the tricky part: Factor the left side (using FOIL from algebra) to get (a + b)(a - b) and factor out b from the right side to get b(a - b). If you're not sure how FOIL or factoring works, don't worry—you can check that this all works by multiplying everything out to see that it matches. The end result is that our equation has become: (a + b)(a - b) = b(a - b)

Since (a - b) appears on both sides, we can cancel it to get: a + b = b

Since a = b (that's the assumption we started with), we can substitute b in for a to get: b + b = b

Combining the two terms on the left gives us: 2b = b

Since b appears on both sides, we can divide through by b to get: 2 = 1

Wait, what?! Everything we did there looked totally reasonable. How in the world did we end up proving that 2 = 1?