Re: x²+4x+5=0

On 1/22/2025 3:30 PM, Moebius wrote:

Am 23.01.2025 um 00:22 schrieb Chris M. Thomasson:
 

A real is any complex number with a zero imaginary part?

 Hint: x + i0 = x + 0 = x  for all x e IR.
 Yeah, there's a subtle "problem":
 (x, 0) = x
 can't "actually" be right. But in math we "identify" (x, 0) with x. So, yes, "a real is any complex number with a zero imaginary part" (sort of).
 When we use the usual notation z = x + iy (where x,y e IR) for z e C, the "propblem" vanishes.

Well, when I look at a complex number of, say, 1+0i, I think of a real, 1. Or a complex number denoting the real one. Is that okay? Or too much mixing and matching going on here?