HP Forums

F6(X):=X^2-IM(sqrt(X))-3

The roots are sqrt(3), and -2.11... (verify on the graph screen with plot)

Try (in CAS) fsolve(F6(x),x) returns [-1.732... 1.732] ???

or nSolve(F6(x)=0,x=-2) returns -1.732... ???

Same problem with solve, zeros, etc. . . The IM() function seems to be ignored, and the negative root is not found.

Are you sure that the function is ever executed with complex intermediate results? I assume that the solver only uses real valued functions and thus excludes negative values for the sqrt function.

I believe that the problem is with the IM function (in XCAS), rather than SQRT, but maybe it is both, who knows?

im(sqrt(x)) should indeed stay as is, currently returns 0. Will be fixed in Xcas and sent to HP source codebase. With the fixed version
fsolve(x^2-im(sqrt(x))-3,x=-4..4)
returns
[-2.11012484911,1.73205080757]

Thank you - - as I posted elsewhere, I start liking the HP Prime more and more. And the responses from you and the development team are very pro-active!