# Division of Zero by Zero

Division of **Zero by Zero**, is an **unexplained mystery**, since decades in field of Mathematics and is refereed as undefined. This is been a great mystery to solve for any mathematician and rather to use **limits** to set value of **Zero by Zero** in **differential calculus** one of the Indian-Mathematical-Scientist **Jyotiraditya Jadhav** has got correct solution set for the process with a proof.

## About Zero and it's Operators

### Discovery

The first recorded **zero** appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth

### Operators

"**Zero** and its **operation** are first **defined** by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for **zero**: a dot underneath numbers.

## Detailed proof

We will form two solution sets (namely set(A) and set(B))

Solution set(A):

If we divide zero by zero then

We can write the 0 in the numerator as and in the denominator as ,

= equaling

We can then write the 0 in the numerator as and in the denominator as ,

=

= [Taking 2 as common]

=

We can even write the 0 in the numerator as and in the denominator as ,

=

= [Taking as common]

=

So, the solution set(A) comprises of all real numbers.

set(A) =

Solution set(B):

If we divide zero by zero then

We know that the actual equation is

=

= 0^(1-1) [Laws of Indices, ]

=

= [Already proven<ref>https://brilliant.org/wiki/what-is-00/</ref>]

So, the solution set(B) is a singleton set

set(B) =

Now we can get a finite value to division of by taking the intersection of both the solution sets.

Let the final solution set be

=

=

Hence proving