When all you have is an imaginary hammer, everything looks like a rotation around the imaginary unit circle.
Explanation of maths
x = -10, i = √-1 so i² = -1 and 10i²=-10
IIRC, your spoilery “so” is the other way round. The right side is the definition, and the left-hand side a layman’s shorthand, as the root operator isn’t defined on negative numbers.
I might very well be wrong. My being a mathematician has been over for a while now, my being a pedantic PITA not though.
The square root is always positive, but you can plug it into the quadratic formula to get the two possible values.
What about plain old x = -10?
-10 ^ 2 = 100
-10 ^ 3 = -1000
-10 ^ 5 = -100000
people being pedantic showoffs doesn’t really register as humor for me, TBH
No definition what values are suitable for x.
Yeah, I think the point is that the person answering was wrong/over complicating. If x=10i, then x^2 would be -100 (or potentially -10 depending on what you think the ^2 is applied to).
Probably what they were going for, but there are literally an infinite number of exotic arithmetic spaces you could ask this question in. For example, x=10 works in any ring with a modulus greater than 100 and less than 1000.
My brain
It hurts
That’s because the explanation was about 10 times as complicated as it needs to be
