there are no two negative numbers that multiply to be a negative. You can not take the square root of a negative without it resulting in an imaginary number.
u can graph any real number on an "imaginary system" (argand diagram) it just has an imaginary component of 0, but this is unecessary. If x were -1, then the equation y = sqrt(-x) would be sqrt(1) = 1, which is quite real
It's called i! i! It's ******* awesome! You can like do loads of **** with i!!! You can totally work out complex trigonometric function with ******* i! i's the **** bra! Some dude named Euler was totally fantasising about i and then he was like, "Dudes! I should, like, totally do something with i!" And he made an equation and BOOM! We now know the equation for oscillators with viscous damping....and, well most other things too since Euler's equation helped trig generally....But **** yeah oscillations!
You're speaking to me as if I don't know what i is, even though I've mentioned it below. Keep your shirt on. and yes, I know about eulers identity, I'm a mechanical engineering student at Michigan Tech.
I'm not saying you don't know what it is but I am saying you are not thinking about how awesome it is! I mean...whoa! It's got like it's own letter and everything! Not just any letter....but i! as in, "i own dis ****!" It's magical!