(19C/29C) Solving seconddegree equations

11102023, 06:25 PM
Post: #1




(19C/29C) Solving seconddegree equations
Here's just a little program for HP19C/HP29C which, starting from a seconddegree equation, calculates exclusively in the stack :
 the discriminant Δ ;  the successive X and Y coordinates of the extremum ;  the real solution(s) if the discriminant is positive or zero;  the real and imaginary solutions if the discriminant is negative. To do this, enter the parameters a, b and c in Z, Y and X in the stack, then run the program using [GSB] [4]. For example, for the equation x² + x + 1 = 0: [1] [CHS] [ENTER] [CHS] [ENTER] [GSB] [4]; the calculator then displays Δ = 5, X=0.5, Y=1.25, x1≈1.618 and x2≈0.618. For the equation x² + 2x + 3 = 0: [1] [ENTER] [2] [ENTER] [3] [GSB] [4]; then the calculator displays Δ = 8, X=1, Y=2, the real part u=1 and successively the two imaginary parts v1≈1.414 and v2≈1.414. Naturally, the program also works on the HP29E calculator (where it was created). 

« Next Oldest  Next Newest »

User(s) browsing this thread: 1 Guest(s)