Texas Instruments TITANIUM TI-89 User Manual

Page 274

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Symbolic Manipulation

274

-

Clear the history area (

,

8

) or delete unneeded history pairs.

-

You can also use

,

9

to reduce the number of history pairs that will be saved.

Use

3 to set Exact/Approx = APPROXIMATE. (For results that have a large

number of digits, this uses less memory than

AUTO

or EXACT. For results that have

only a few digits, this uses more memory.)

Simplifying Problems

Simplifying Problems

Simplifying Problems

Simplifying Problems

Split the problem into parts.

-

Split

solve(

a†b=0,

var)

into

solve(

a=0,

var)

and

solve(

b=0,var

)

. Solve each part and

combine the results.

If several undefined variables occur only in a certain combination, replace that
combination with a single variable.

-

If m and c occur only as

m

c

2

, substitute e for

m

c

2

.

-

In the expression

, substitute c for

(a+b)

and use

. In

the solution, replace c with

(a+b)

.

For expressions combined over a common denominator, replace sums in
denominators with unique new undefined variables.

-

In the expression

, substitute d for

and

are

. In the solution, replace d with

.

Substitute known numeric values for undefined variables at an earlier stage,
particularly if they are simple integers or fractions.

a b

+

(

)

2

a b

+

(

)

2

+

1

a b

+

(

)

2

--------------------------------------------------

c

2

c

2

+

1 c

2

---------------------

x

a

2

b

2

+

c

+

------------------------------

y

a

2

b

2

+

c

+

------------------------------

+

a

2

b

2

+

c

+

x

d

---

y

d

---

+

a

2

b

2

+

c

+

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