Function intersection

[OlidaBel]

(01-23-2022 05:33 PM)rawi Wrote:  One problem for those two functions is that the curves do not intersect but touch each other.
The Prime indeed does not find the touch point. It not even finds the zero point of the combined function x^2-2-ln(x^2-1) which touches the x-axis.

interesting function.
On DM15L (15C clone), results may vary depending the way the function is programmed.
Function definition works well when written from right to left, beginning inside LN.
When written from left to right I get always an ERROR 8. tricky.
SOLVE-ing this equation can return an error or a root, but it is not exact : starting from [2,3], given root is 1.414213604 (not exactly sqrt(2)=real root).
For most starting values, I get an ERROR 8 , it means "no root found".

On 50G, EQ written between quotes, given root is correct. On the graphic, solving it returns an 'extremum' and it's also a root. Good old 50G ;-)