In the field of calculus
, 0/0 is sometimes referred to as indeterminate
, meaning it could potentially equal any number it wants to. Examples:
If x = 0, divide both sides by x. Result: 1 = 0/x.
If 2x = 0, divide both sides by x. Result: 2 = 0/x.
OR, divide both sides by 2, and find that x = 0.
Therefore, 0/x = 1 and 0/x = 2. The same is true of any other real number. 0/0 = all real numbers. From this, you could easily conclude that all real numbers are equal. But that's another story...