Solve example on various calculators

[Gene222]

(12-10-2023 03:19 AM)C.Ret Wrote:  All this seems completely natural to me, I do not know of any numerical root resolution algorithm which does not need the function to be defined, continuous or differentiable on either side of each root.

If you rewrite the equation as y = (x+1) * sqrt(x^2 - 2*x -1), the gap in y from -0.41 to 2.41 is caused because y is an imaginary number. This probably means that the numeric root solver or algorithm is capable of handling complex and imaginary numbers.