Graphical solving of systems of equations in the Function application.

10152022, 06:31 AM
Post: #1




Graphical solving of systems of equations in the Function application.
I still want to cover this topic in the Function app. This applies, of course, to finding graphical solutions to equations where the LN (x) and LOG (x) functions occur. I will give examples:
1. I solve graphically the system of equations: y = x ^ 2 30 i y = LN (x) We get 2 places of intersection. OKAY 2. Now he solves a graphically similar system of equations: y = x ^ 2  30 and y = LN (x  2). Unfortunately, the calculator finds only one solution here, x = 5.59276. It does not show the second solution. 3. Now I change the function LN to LOG. Let's take a look at this. y = x ^ 2  30 and y = LOG (x). We get 2 places of intersection. OKAY 4. Now we have: y = x ^ 2 30 and y = LOG (x  2). And here, unfortunately, as for LN, the calculator finds only one solution, x = 5.52697. It does not show the second solution. Please correct this. And one more important note. All the abovementioned systems of equations are solved well by the Advanced Graphing application. 

10152022, 10:41 AM
Post: #2




RE: Graphical solving of systems of equations in the Function application.
The problem in these examples is that the root that the Graphing app doesn’t find is very close to 2: in your first example, the root is 2 + 5.109 x 10^(12). In Home mode numbers on the Prime only have 12 digits, so this root cannot be found directly.
(I found the result above by replacing X by X+2 in each equation and solving for the new X.) Nigel (UK) 

10222022, 08:02 AM
Post: #3




RE: Graphical solving of systems of equations in the Function application.
(10152022 10:41 AM)Nigel (UK) Wrote: The problem in these examples is that the root that the Graphing app doesn’t find is very close to 2: in your first example, the root is 2 + 5.109 x 10^(12). In Home mode numbers on the Prime only have 12 digits, so this root cannot be found directly. Nice explanation thanks HP Prime G1 Python via Android Termux... 

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