Hp 49g Graphing Calculator Uživatelský manuál stáhnout pdf (Strana 137)

Finding a polynomial From a set of roots

To find a polynomial equation that corresponds to a set of roots, use the

following procedure:

1. Open the numeric solver aird select SOLVE POLY to display the

Coefficients input form.

2. Press ® to place the cursor in the Roots field, and press edit. Matrix

Writer opens, ready for use.

•3. In Matrix Writer, enter the roots on the top row of the matrix, and

press (ENTE^ to place the values, in vector form, on the input form.

4. Press @ to place the cursor in the Coefficients field.

5. Press SOLVE. The nmneric solver solves the equation and places the

coefficients, in vector fonn, in the Coefficients field.

Solving linear systems

A linear system is a set of linear equations where there is more than one

independent variable. For example, the following is a system where there

are two linear equations and two independent variables.

3.r +2y = b

2x~8y = 7

There are three types of linear systems:

• Exactly determined systems are systems where there is the same

number of equations as there are independent variables. The HP 49G

can solve these systems to the limits of its accuracy.

® Over-determined systems are systems where there is a greater

number of equations than there are independent variables. Usually

there is no exact solution to these systems. The HP 49G returns the

least-squares solution.

® Under-determined systems are systems where there is a smaller

number of equations than the number of independent variables.

Usually there is an infinite number of solutions to these systems. The

HP 49G returns the solution with the minimum Euclidean norm.

Solving equations

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Hp 49g Graphing Calculator Uživatelský manuál Strana 137