Tell me a number which when divided, multiplied, added &

subtracted by a x number gives a same number, for example when 2 is divided with 2 it gives 1 & multiplied with 2 give 4 . Therefore the number

is not matching.

I don't quite understand your question. do some more examples in full.

I don't get it. 1 x 2 = 4?

No complex number exists.

 

x/x = 1 unless x=0, then it's undefined.

 

x*x = 1 if x = 1 or x=-1

 

if x = 1 , x+x =2

if x= -1, x+x=-2

 

There is a 4 dimensional number system called quarternions, and another called hypercomplex that it might exist in, but I don't feel like doing the calculations.

Am I right in thinking that your looking for numbers that satisfy:[math]a\times b=a\divide b=a+b=a-b[/math]?