Texas Instruments Voyage 200 User Manual page 877

Use the "|" operator to restrict the solution interval
and/or other variables that occur in the equation or
inequality. When you find a solution in one interval,
you can use the inequality operators to exclude that
interval from subsequent searches.
is returned when no real solutions are found.
false
is returned if
true
finite real value of
inequality.
Since
solve()
can use "and," "or," and "not" to combine results
from
solve()
expressions.
Solutions might contain a unique new undefined
variable of the form @
the interval 1–255. Such variables designate an
arbitrary integer.
In real mode, fractional powers having odd
denominators denote only the real branch.
Otherwise, multiple branched expressions such as
fractional powers, logarithms, and inverse
trigonometric functions denote only the principal
branch. Consequently,
solutions corresponding to that one real or principal
branch.
Note: See also
.
zeros()
equation1
solve(
varOrGuess2
Returns candidate real solutions to the
simultaneous algebraic equations, where each
varOrGuess
solve for.
Optionally, you can specify an initial guess for a
variable. Each
variable
– or –
variable
For example,
If all of the equations are polynomials and if you
do NOT specify any initial guesses,
the lexical Gröbner/Buchberger elimination
method to attempt to determine all real
solutions.
For example, suppose you have a circle of radius r
at the origin and another circle of radius r
centered where the first circle crosses the positive
x-axis. Use
As illustrated by r in the example to the right,
simultaneous
extra variables that have no values, but represent
given numeric values that could be substituted
later.
You can also (or instead) include solution
variables that do not appear in the equations. For
example, you can include z as a solution variable
Appendix A: Functions and Instructions
can determine that any
solve()
satisfies the equation or
var
always returns a Boolean result, you
with each other or with other Boolean
j j
with being an integer in
n
produces only
solve()
,
cSolve() cZeros()
equation2 ...
and [and
}) ⇒ ⇒ ⇒ ⇒
[ ... ] Boolean expression
,
specifies a variable that you want to
must have the form:
varOrGuess
=
real or non-real number
is valid and so is
x
to find the intersections.
solve()
polynomial
equations can have
In Radian angle mode:
solve(tan(x)=1/x,x)|x>0 and x<1 ¸ x
solve(x=x+1,x) ¸
solve(x=x,x) ¸
2x ì 1  1 and solve(x^2 ƒ 9,x) ¸
In Radian angle mode:
solve(sin(x)=0,x) ¸
solve(x^(1/3)= ë 1,x) ¸
solve( ‡ (x)= ë 2,x) ¸
solve( ë ‡ (x)= ë 2,x) ¸
, , and
nSolve()
solve(y=x^2 ì 2 and
varOrGuess1
], { ,
x+2y= ë 1,{x,y}) ¸
.
x=3
uses
solve()
solve(x^2+y^2=r^2 and
(x ì r)^2+y^2=r^2,{x,y}) ¸
solve(x^2+y^2=r^2 and
(x ì r)^2+y^2=r^2,{x,y,z}) ¸
false
true
x  1 and x ƒ ë 3
x = @n1 ø p
x = ë 1
false
x = 4
x=1 and y= ë 1
or x= ë 3/2 and y=1/4
r ø r
3
x= and y=
2 2
r ø r
ë
3
or x= and y=
2 2
879