Symbolic Functions - HP 40G User Manual

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Symbolic functions

= ( equals )
ISOLATE
LINEAR?
QUAD
Using mathematical functions
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The symbolic functions are used for symbolic manipulations
of expressions. The variables can be formal or numeric, but
the result is usually in symbolic form (not a number). You will
find the symbols for the symbolic functions = and | (where) in
the CHARS menu ( ) as well as the MATH menu.
CHARS
Sets an equality for an equation. This is not a logical operator
and does not store values. (See "Test functions" on page 10-
20.)
expression1=expression2
Isolates the first occurrence of variable in expression=0 and
returns a new expression, where variable=newexpression.
The result is a general solution that represents multiple
solutions by including the (formal) variables s1 to represent
any sign and n1 to represent any integer.
ISOLATE(expression,variable)
Examples
ISOLATE(2*X+8,X) returns -4
ISOLATE(A+B*X/C,X) returns -(A*C/B)
Tests whether expression is linear for the specified variable.
Returns 0 (false) or 1 (true).
LINEAR?(expression,variable)
Example
LINEAR?((X^2-1)/(X+1),X) returns 0
Solves quadratic expression=0 for variable and returns a new
expression, where variable=newexpression. The result is a
general solution that represents both positive and negative
solutions by including the formal variable S1 to represent any
sign: + or – .
QUAD(expression,variable)
Example
2
QUAD((X-1) -7,X) returns
(2+s1*5.29150262213)/2
10-19