i love maths...and this is one of the questions i wondered about and on which i got an answer
and that's why i can give the answer(s)....
all correct answers...
ok you've got 0:0=
,but i know anyway
well first if you divide 0 by any number it gives you 0
in other words
0 : (any number) =0
but you can't devide by 0 ,at least it's not 100 % defined
but if you study advanced mathematics you will see that you can take a number infinitely close to 0 and so it gives you an infinite number (i can't write it ,but it's an eight lied down)
so (any number) : 0 = infinity
if you don't believe take a number X and devide it by a number Y, then take that same number X and divide it by a smaller number then Y and so on , you will see that the number always gets bigger and bigger...
in other words
X : Y = number , X : (smaller number then Y) = bigger number , X : (a smaller number then the previous Y) = an even gigger number then before , and so on
so if you go so on you'll get a number who is pretty much equal to infinity
dumb example :
4 : 2 = 2 , 4 : 1 = 4 , 4 : 1/4 = 16 , 4 : 1/16 = 64 , 4 : 1/76564547657568 = 306258190630272 and you could go so on until you get an infinite number
SOME could say that (X=a number) X :X = (always) 1
not with 0 it's a special number , if you do + or - 0 it gives you the same number X + 0 = X or X - 0 = X
but when it come to multiplicate it's different
X * 0 = 0 (you could say nothing but it's still a number ,cause an answer can still be 'nothing')
but X : 0 = infinity (or everything, but you could say it's a number but it's just so big you could never imagine it, so it isn't a number)
when you're still a rookie (too young,still learning) in maths the teacher tells you that X : 0 = ? , nothing cause it's not defined the answer is {} ( an empty conjunction or nothing)
but that's because you work th real numbers conjunction and it's inthere it's not defined
or you can have such a equation
(x is the number you're looking for, the answer)
6x -9x+3 = 5x/(4 - X)
there the X may not be = 4 or it won't be defined
if you had an exercise where the answer would be x=4,then there would be no answer , result ={}
many exercices like this one can be made much(incredibly much more) difficult .....i can't and won't explain it cause i doubt there is anyone smart enough to understand them
BUT if you have 0*x = 0 ,X= (the conjunction you're working in) it almost could be infinity
i won't continiue cause not many of you will understand all of these things i wrote......
am i smart or what
i hope this is enough/long enough