Texas Instruments TI-89 Manual Book page 443

starts with exact symbolic methods.
cSolve()
Except in
iterative approximate complex polynomial
factoring, if necessary.
Note: See also
Note: If
functions such as
or
imag()
¥ 
(
TI-89:
of . By default, a variable is treated as a
var
real value.
If you use
complex.
You should also use
variables in
values. Otherwise, you may receive
unexpected results.
cSolve(equation1 and equation2 [and ... ],
{varOrGuess1, varOrGuess2 [, ... ]})
Boolean expression
Returns candidate complex solutions to the
simultaneous algebraic equations, where
each
varOrGuess
want to solve for.
Optionally, you can specify an initial guess
for a variable. Each
form:
variable
– or –
=
variable
For example,
If all of the equations are polynomials and if
you do NOT specify any initial guesses,
uses the lexical Gröbner/Buchberger
cSolve()
elimination method to attempt to determine
all complex solutions.
Complex solutions can include both real and
non-real solutions, as in the example to the
right.
426 Appendix A: Functions and Instructions
mode, also uses
EXACT cSolve()
, , and
cZeros() solve()
is non-polynomial with
equation
, ,
abs() angle() conj()
, you should place an underscore _
2  ) at the end
TI-92 Plus:
_ , the variable is treated as
var
_ for any other
var
that might have unreal
equation
specifies a variable that you
must have the
varOrGuess
-
real or non real number
is valid and so is
x x=3+
Digits
Display
exact(cSolve(x^5+4x^4+5x
^3ì6xì3=0,x)) ¸
cSolve(ans(1),x) ¸
.
zeros()
, ,
real()
z is treated as real:
cSolve(conj(z)=1+ i,z) ¸
z_ is treated as complex:
cSolve(conj(z_)=1+ i,z_) ¸
i.
Note: The following examples use an
underscore _ (
2  ) so that the variables
TI-92 Plus:
will be treated as complex.
cSolve(u_ù v_ì u_=v_ and
v_^2=ë u_,{u_,v_}) ¸
u_=1/2 +
or u_=1/2 ì
mode in :
Fix 2
z=1+ i
z_=1 i
¥ 
TI-89:
3
øi and v_=1/2 ì
2 2
3
øi and v_=1/2 +
2
or u_=0 and v_=0
3
øi
3
øi
2