Hp 49g Graphing Calculator Manual do Utilizador descarregar pdf (Página 135)

Solving polynomial equations

PolpioiTiial equations are of the form;

a.r" + bx” % ,.. + cx^ + dx + e = 0

For example, the following equation is a third order polynoixiial:

5x'" + 4a:“ - 3x + 2 = 0

You can use the HP 49G to:

® find the roots of a polynomial

® find the coefficients of a polynomial, given a set of roots.

To solve a polynomial, you express it as a vector of its coefficients. For

example, consider the previous example:

5/ + 4;r^__3,x + 2 = 0

In vector fonn, this can be expressed as follows:

4 ~3

]

Note that if a polynomial does not include a term for a particular power,

you need to include a 0 in the vector to represent the term. For example:

Equation

3x + 5

Vector

3 0

Sv'"* - 2x

-2

]

Example

This example describes how to find the roots of the polynomial equation

5x^ + 4x^ - 3x + 2 = 0.

1. Open the numeric solver and select solve

POLY to display the Coefficients input form.

SOLVE

Cocfficimti [ <m .. 3:

Ent«zr Cfgffici^ht5 or SOLVE

Solving equations

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Hp 49g Graphing Calculator Manual do Utilizador Página 135