Solving A Literal Equation Using Newton's Method (Area Of A Trapezoid) - Sharp EL9600C - Graphing Calculator Handbook

Solving a Literal Equation Using Newton's Method
Solver mode is used to solve one unknown variable by inputting known variables. There
are three methods: Equation, Newton's, and Graphic. The Newton's method can be used
for more complicated equations. This method implements an iterative approach to find
the solution once a starting point is given.
Example
Find the height of a trapezoid from the formula for calculating the area of a trapezoid
useing Newton's method.
1
The formula : A=
2
1.
Find the height of a trapezoid with an area of 25in
and 7 in using Newton's method. (Set the starting point to 1.)
2.
Save the formula as "A TRAP".
3.
Find the height of a trapezoid with an area of 50in
using the saved formula. (Set the starting point to 1.)
Before
There may be differences in the results of calculations and graph plotting depending on the setting.
Start
Return all settings to the default value or to delete all data.
As Solver feature is only available on the EL-9600, this section does not apply to the EL-9400.
Step & Key Operation
*Use either pen touch or cursor to operate.
1
1
Access the Solver feature.
-
2nd F SOLVER
1
2
Select Newton's method
-
for solving.
A
2nd F SOLVER
*
2
*
1
3
Enter the formula A =
-
=
A
ALPHA ALPHA
(
H
ALPHA ALPHA
)
C
1
4
Enter the values: A = 25, B = 5, C = 7
-
ENTER 2 5 ENTER
5
ENTER
* *
h(b+c)
(A = area h = height
1
h(b+c).
2
1 a /b 2
*
+
B
ALPHA
*
7
ENTER
EL-9600 Graphing Calculator
b = top face
2
and bases of length 5 in
2
with bases of 8 and 10
Display
This screen will appear a few
seconds after "SOLVER" is dis-
played.
(Area of a Trapezoid)
c = bottom face)
Notes
3-3