Function involving a negative square root HELP?

AI Thread Summary
The discussion centers on the function f(x) = √x / (x(x-1)) with x = -2, highlighting the impossibility of taking the square root of a negative number without involving complex numbers. The correct approach leads to a complex result of 1.41i / 6. There is confusion regarding whether a real number could be a valid answer, with one participant acknowledging the error in questioning this. The conversation emphasizes the need to recognize when complex numbers are necessary in mathematical functions. Ultimately, the conclusion reinforces that the function's output for negative inputs must be complex.
yobrojas
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As you can't take the square root of a negative number without introducing complex numbers, which would be the correct answer to this function:

Equation:

x = -2

f(x) = √x / (x(x-1))


Answer a) 1.41i / 6

or

Answer b) 0
 
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Since you start by saying "you can't take the square root of a negative number without introducing complex numbers", why would you even ask whether a real number is the answer?
 
Sorry about that, just realize what I said...Apologies!
 

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