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HP 49g manual Numerical solver menu

Models: 49g

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To use function ZEROS in RPN mode, enter first the polynomial expression, then the variable to solve for, and then function ZEROS. The following screen shots show the RPN stack before and after the application of ZEROS to the two examples above (Use Complex mode in the CAS)::

The Symbolic Solver functions presented above produce solutions to rational equations (mainly, polynomial equations). If the equation to be solved for has all numerical coefficients, a numerical solution is possible through the use of the Numerical Solver features of the calculator.

Numerical solver menu

The calculator provides a very powerful environment for the solution of single algebraic or transcendental equations. To access this environment we start the numerical solver (NUM.SLV) by using ‚Ï. This produces a drop- down menu that includes the following options:

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HP 49g manual Numerical solver menu

Contents

User’s manual Hp 49g+ graphing calculatorPrinting History Preface Table of Contents Calculations with real numbers Algebraic and arithmetic operations Calculations with complex numbersOperations with lists Solution to equationsMatrices and linear algebra VectorsVector Analysis Applications GraphicsCalculus Applications Multi-variate Calculus ApplicationsStatistical Applications Differential EquationsProbability Distributions Numbers in Different Bases Using SD cardsLimited Warranty W-1 Batteries Chapter Getting startedBasic Operations Contents of the calculator’s display Tool menu MenusIntroducing the calculator’s keyboard Setting time and datePage Selecting calculator modes Operating Mode √ 3.*5.-1/3.*3./23.3+EXP2.5 Lets try now the expression proposed earlier Number Format and decimal dot or comma Page Page Page Angle Measure Coordinate System Selecting CAS settings Selecting Display modes Explanation of CAS settingsSelecting the display font Selecting properties of the line editor Selecting properties of the Stack Selecting properties of the equation writer EQW ReferencesCreating arithmetic expressions Chapter Introducing the calculatorCalculator objects Editing expressions in the stackPage Page 2L 1 + + 2 L + y Creating algebraic expressionsUsing the Equation Writer EQW to create expressions Page + 2 ⋅ 5 + + e  x + 2µ ⋅ ∆y Subdirectories Organizing data in the calculatorHome directory Typing variable names VariablesCreating variables Page Page Checking variables contents Page Deleting variables Using function Purge in the stack in Algebraic modeChoose boxes vs. Soft Menu Using function Purge in the stack in RPN modeUndo and CMD functions Show Prog menu list and select Memory Page References Examples of real number calculations Chapter Calculations with real numbersPage Page Using powers of 10 in entering data Page Hyperbolic functions and their inverses Real number functions in the MTH menuPage Units menu Operations with unitsPage Available units Attaching units to numbers Operations with units Page Unit conversions Physical constants in the calculatorEngl Defining and using functions ‘LNx+1 + EXPx ‘ Reference Definitions Setting the calculator to Complex modeChapter Calculations with complex numbers Polar representation of a complex number Entering complex numbersSimple operations with complex numbers Cmplx menu through the MTH menu Cmplx menusCmplx menu in keyboard Function Droite equation of a straight line Functions applied to complex numbersReference Entering algebraic objects Chapter Algebraic and arithmetic operationsSimple operations with algebraic objects `‚¹ Collect Functions in the ALG menuPage Operations with transcendental functions Expansion and factoring using log-exp functionsExpansion and factoring using trigonometric functions Functions in the Arithmetic menu Horner function PolynomialsQuot and Remainder functions VariablePcoef function Proot functionSIMP2 function FractionsPeval function Fcoef function Propfrac functionPartfrac function − 5X 2 + 3X − Step-by-step operations with polynomials and fractionsFroots function Reference Function Isol Chapter Solution to equationsSymbolic solution of algebraic equations Function Solve Page Function Zeros Function SolvevxNumerical solver menu @SOLVE@ Polynomial EquationsSolve for coefficients ˜@SYMB@ Solving equations with one unknown through NUM.SLV Financial calculationsSolution to simultaneous equations with Mslv Page Reference Changing sign Chapter Operations with listsCreating and storing lists Operations with lists of numbersAddition, subtraction, multiplication, division Functions applied to lists MTH/LIST menu Lists of complex numbersLists of algebraic objects ∆LIST MAP function SEQ functionTyping vectors in the stack Chapter VectorsEntering vectors Storing vectors into variables in the stack Using the Matrix Writer Mtrw to enter vectorsPage Page Addition, subtraction Simple operations with vectorsAbsolute value function Multiplication by a scalar, and division by a scalarDot product MTH/VECTOR menuMagnitude Cross product Entering matrices in the stack Using the Matrix WriterChapter Matrices and linear algebra Typing in the matrix directly into the stack Addition and subtraction Operations with matricesMultiplication Cij = ∑aik ⋅ bkj , for i = 1,2,K, m j = 1,2,K, n Page Function Trace Solution of linear systemsCharacterizing a matrix The matrix Norm menu Function DET M Using the numerical solver for linear systems=  a x2 Solution by division of matrices Solution with the inverse matrixGraphs options in the calculator Chapter Graphics= 1 exp− x Plotting an expression of the form y = fxGenerating a table of values for a function Page Fast 3D plots Left-1 Right1 Near-1 Far Low High Step Indep Depnd Page Reference Function lim Chapter Calculus ApplicationsCalc Calculus menu Limits and derivativesFunctions Deriv and Dervx Functions INT, INTVX, RISCH, Sigma and Sigmavx Anti-derivatives and integralsXdx = F x + C Definite integrals Infinite seriesFunctions TAYLR, TAYLR0, and Series Reference Partial derivatives Chapter Multi-variate Calculus ApplicationsΦ x, ydydx Multiple integrals∇ = i ⋅ ∂ + j ⋅ ∂ + k ⋅ ∂ ∂x ∂y ∂z Chapter Vector Analysis ApplicationsDel operator GradientCurl DivergenceCALC/DIFF menu Solution to linear and non-linear equationsChapter Differential Equations Function Ldec Yx = 5 ⋅ exp−x3 / 3 ⋅ expx3 / 3 ⋅ dx + C0 Function DesolveDesolve Variable OdetypeLaplace transform and inverses in the calculator Laplace TransformsFourier series for a quadratic function Fourier series= ∑ c n Function FourierPage Reference − 2... − + 1 = − r Chapter Probability DistributionsMTH/PROBABILITY.. sub-menu part Factorials, combinations, and permutationsRandom numbers Student-t distribution MTH/PROB menu partNormal distribution F distribution Chi-square distributionCalculating single-variable statistics Chapter Statistical ApplicationsEntering data Page Obtaining frequency distributions Fitting data to a function y = fx 195238095238 + 2.00857242857*X Correlation Covariance Obtaining additional summary statistics Confidence intervals Page Hypothesis testing Page Reference Writing non-decimal numbers Chapter Numbers in Different BasesBase menu HEX DEC OCT BIN Storing objects in the SD card Using SD cardsChapter Purging an object from the SD card Recalling an object from the SD cardLimited Warranty Service HP Invent USA Regulatory information