Hp 49g+ User Manual download pdf (Page 203)

100

101

Page 6-6

Notes:

1. Whenever you solve for a value in the NUM.SLV applications, the value

solved for will be placed in the stack. This is useful if you need to keep that

value available for other operations.

2. There will be one or more variables created whenever you activate some of

the applications in the NUM.SLV menu.

Polynomial Equations

Using the Solve poly… option in the calculator’s SOLVE environment you can:

(1) find the solutions to a polynomial equation;

(2) obtain the coefficients of the polynomial having a number of given roots;

(3) obtain an algebraic expression for the polynomial as a function of X.

Finding the solutions to a polynomial equation

A polynomial equation is an equation of the form: a

+ a

n-1

+ …+ a

x +

= 0. The fundamental theorem of algebra indicates that there are n

solutions to any polynomial equation of order n. Some of the solutions could

be complex numbers, nevertheless. As an example, solve the equation: 3s

- s + 1 = 0.

We want to place the coefficients of the equation in a vector [a

n-1

For this example, let's use the vector [3,2,0,-1,1]. To solve for this polynomial

equation using the calculator, try the following:

‚Ï˜˜@@OK@@ Select Solve poly…

„Ô3‚í2‚í 0

‚í 1\‚í1@@OK@@ Enter vector of coefficients

@SOLVE@ Solve equation

The screen will show the solution as follows:

1 2 ... 198 199 200 201 202 203 204 205 206 207 208 ... 861 862

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Hp 49g+ User Manual Page 203

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