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HP 48g Graphing Calculator User Manual

Page 210

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The message is based on the

value of ihe equation

—the difference

between the left and right sides of an equation, or the value returned

by an expression or program.

If a root is found, the SOLVE application returns a message describing
the root:

Zero

The SOLVE application found a point where the

value of the equation is

0

within the calculator’s

12

-digit precision.

S i y n R e v e r s a l The SOIVE application found two points where

the value of the equation has opposite signs, but

it cannot find a point in between where the value
is 0. This may be because:

■ The two points are neighbors (they differ by 1

in the

12

th digit).

■ The equation is not real-valued between the

18

two points. The SOLVE application returns

the point where the value is closer to 0. If

the value of the equation is a continuous real

function, this point is the SOLVE application’s
best approximation of an actual root.

remjn

One of the following occurred:

m

The SOLVE application found a point where

the value of the equation approximates a local

minimum (for positive values) or maximum (for
negative values). The point may or may not
represent a root.

■ The SOLVE application stopped searching at

±9.9999999999915499, the largest or smallest

numbers in the calculator’s range of numbers.

To obtain more information about the solution:

■ Do any or all of the following:

n Move the highlight to the EQ field and press E x p R = (ENTER). For

an expression or program, the closer the result (labeled E::-ipr:) is

to 0, or for an equation, the closer the two results (labeled L e t t s
a n d R i g h t s ) are to each other, the more likely it is that the

SOLVE application found a root. You must use judgement in

considering the results.

18-4 Solving Equations

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