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## HP 38g Calculator - Solving Equations

Description
An equation contains an equal sign. Its solution is a value for the unknown variable that makes both sides equal the same value. Unlike an equation, an expression does not contain an equal ( = )sign. Its solution, is a root, that is, a value for the unknown variable that makes the expression equal to zero.
Calculator symbol key
The procedures in this document use the following text to represent symbol keys:
 Key Description Text Representation Colored key; shift key SHIFT Move cursor left cursor-left Move cursor right cursor-right Move cursor up cursor-up Move cursor down cursor-down Backspace/clear backspace
Defining the equation
With the 38g, up to ten equations (or expressions), named E0 through E9, can be defined. Also, each equation can contain up to 27 real variables named A through Z or 0
To define an equation
To define an equation:
1. In the LIBRARY (LIB) select the solve aplet.
2. Display the symbolic view by pressing SYMB. If the highlight is on an existing equation, scroll to an empty line or clear one line by pressing DEL or all lines by pressing SHIFT, then DEL
3. Enter a complete equation, including the equals sign (= is available as a menu key). Use only A through Z and 0 as variable names.
4. Press ENTER or OK to complete the equation. Only one equation at a time can be check-marked.
##### note:
A Solve variable (E1 through E0) can also be defined in terms of other Solve variables. For instance, E1 in an equation could be defined to be the sum of E2 and E3.
Symbolic view keys
The following is a list of the symbolic view keys (and their descriptions) for the HP 38g graphing calculator.
 Key Description EDIT Copies the highlighted expression to the edit line for editing. Press OK when done CHK Checks / un-checks the current expression. Only the checked expression is evaluated [=] Types an equals sign into the equation SHOW Displays the current equation in standard mathematical form EVAL Evaluates the current equation by substituting other variables for all variables except the independent variable, which remains in the symbolic form VAR and MATH Menus for entering variable names, contents of variables, or math functions SHIFT, then CHARS Displays special characters. To type one, highlight it and press OK DEL Deletes all equations in the list or clears just the edit line SHIFT, then CLEAR Deletes all equations in the list or clears just the edit line, if it was active
Angle setting
The only setting for the SYMBOLIC view is the angle measure. This is significant only if any of the equation's variables contain trigonometric functions. To check or change the angle measure, press SHIFT, then SETUP-SYMB. The choices are Radians, Degrees, and Grads.
##### note:
This setting can affect the numeric solutions, as well as the graph.

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