Texas Instruments TI-89 User Manual - Page 274
Simplifying Problems, the solution, replace c
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- 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 • 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†c2, substitute e for m†c2. - In the expression (---a----+-----b----)--2 a-----+-----b---)--2- , substitute c for (a+b) and use c---2 c---2- . In 1 - (a + b)2 1 - c2 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 x y substitute d for a2 + b2 + c and a2 + b2 + c a2 + b2 + c are -x- + -y- . In the solution, replace d with a2 + b2 + c . dd • Substitute known numeric values for undefined variables at an earlier stage, particularly if they are simple integers or fractions. Symbolic Manipulation 274