Solving A Literal Equation Using Newton's Method (Area Of A Trapezoid) - Sharp EL-9900 Handbook Vol. 1 Operation Manual

Solving a Literal Equation Using Newton's Method
The 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
using Newton's method.
The formula : A=
1.
Find the height of a trapezoid with an area of 25in
and 7in 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.)
There may be differences in the results of calculations and graph plotting depending on the setting.
Before
Starting
Return all settings to the default value and delete all data.
As the Solver feature is only available on the Advanced keyboard, this section does not apply to the
Basic keyboard.
Step & Key Operation
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
(
ALPHA H
ALPHA
)
C
1
4
- Enter the values: A = 25, B = 5, C = 7
2
ENTER 5 ENTER
5
ENTER
1
h(b+c)
(A = area h = height
2
1
h(b+c).
2
=
a /b
1 2
+
B ALPHA
7
ENTER
EL-9900 Graphing Calculator
b = top face
2
and bases of length 5in
2 with bases of 8in and 10in
Display
This screen will appear a few
seconds after "SOLVER" is dis-
played.
(Area of a Trapezoid)
c = bottom face)
Notes
5-3