/sci/ - Science & Math

>>8531340

I have a question regards imaginary numbers,

x^2 + 1 = 0

At the time our teach always solved with the quadratic formula for some reason. Went online to jewtube and found a lot of people do the same for some reason.

Why can't I just say x := sqrt(-1)

Thus,

(sqrt(-1))^2 + 1 = 0

sqrt(-1) => i

i^2 + 1 = 0

i^2 => -1

-1 + 1 = 0

0 = 0

Is that okay vs the stupid quadratic formula? Am I being a nigger by just introducing the squareroot of a negative?