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Feb 4, 2023 at 17:38 comment added Sam202 @Poutnik That is correct. Although not completely practical and far from perfect, one could manipulate convergence condition within the iteration loop to obtain an approximate answer, or perhaps re-run the program with a different initial guess if no convergence is obtained. I am guessing OP is reluctant to use Excel or alike because it is not allowed in the exam, whereas his calculator is.
Feb 4, 2023 at 8:56 comment added Poutnik @Sam202 The Newton method is very efficient when it converges, but it's convergence may be even for single independent variable tricky at unlucky choice of starting point and therefore of combinations of respective derivatives. (convergebce condition |f.f''| < (f')^2 )
Feb 3, 2023 at 17:02 comment added Sam202 You could try making a program in your calculator using Newton's method (Jacobian matrix iteration) with an initial guess. I made one for a TI-84 calculator some years ago (older version of your calculator), so it should be a little easier in your case.
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Feb 3, 2023 at 12:59 answer added Poutnik timeline score: 1
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