Re:Formalising a new proof that the square root of two is ir...
by syzarian on Thursday January 19, 2023 @12:43PM
(#34443160)
The equation :
x^2 = a
where a is a positive real number has two solutions. An equation can have multiple solutions (even infinitely many solutions). Sqrt(x) is a function and as such it can have only one output for a given input. Functions don’t have solutions. By definition, sqrt(a) is the nonnegative solution of the equation x^2=a. Here, a can be zero.
x^2 = a
where a is a positive real number has two solutions. An equation can have multiple solutions (even infinitely many solutions). Sqrt(x) is a function and as such it can have only one output for a given input. Functions don’t have solutions. By definition, sqrt(a) is the nonnegative solution of the equation x^2=a. Here, a can be zero.