Question

How is it possible?Only valid answers are accepted


Let a = b

Then,we can write as:
$a \times b = {a}^{2}$

Now,adding (-b^2) both sides

$ab - {b}^{2} = {a}^{2} - {b}^{2}$

$b(a - b) = (a + b)(a - b)$


[Using identity a^2 - b^2 = (a+b)( a-b) and on the R.H.S taking b as common]
$b = \frac{(a + b)(a - b)}{(a - b)}$
$b = a + b$
b = b+b

[Because a = b]

2b = b

Now,put any number in value of b, suppose we put 1,then:

2×1 = 1
2=1


​

Answer 1

Step-by-step explanation:

Yes, I get it, isn't that amazing.

Well, we can say that,

1 pencil is equal to 2 pencils

But, we know that,

1 pencil can't be equal to 2 pencils right??!!

Wait for it!!!

This is the part where people say only a genius can understand it, 2 = 1 is not in a sense of mathematics but of a spiritual form that we can't understand...........and so on.

Well in mathematics, we have a definite reason why this is false.

Let's see it together,

Now,

a = b

Subtracting b from both sides,

we get,

a - b = b - b isn't it?

So, we get,

(a - b) = 0

See the problem,

Well we have always been told that, we should never divide by 0.

Here, we did divide by 0.

And, believe me when I say, if you divide any number by 0, we can get a whole lot of crazy things.

For ex:-

We can say that,

0 = ∞ [Infinity]

Now, we are said that division by 0 is undefined, this is not because mathematicians were too lazy to find it out, well, if they did find it out, then it could be very useful in others areas of maths, especially trigonometry.

It is said because, then we can prove anything by just the division of 0.

Let me show you how,

We know that,

2 × 3 = 6

So,

2 = 6/3

2 = 2 [Now that's true]

But when it comes to 0, we know that,

Any number × 0 = 0

So,

1 × 0 = 0

then,

1 = 0/0

Thus,

We got 0/0 = 1

Now,

we can also say,

2 × 0 = 0

then,

2 = 0/0

So,

we can then say,

1 = 0/0 = 2

Or simply,

1 = 2

See that's why we say not to divide by 0, because then we can prove any number equal to any other number.

Thus,

We can see the fault in the above equation and can definitely say that,

1 ≠ 2 [Read as "1 is not equal to 2."]

Hope it helped and believing you understood it........All the best