Solving A Literal Equation Using Newton's Method (Area Of A Trapezoid) - Sharp EL-9650 Handbook

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.
1
The formula : A=
2
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.)
Before
There may be differences in the results of calculations and graph plotting depending on the setting.
Starting
Return all settings to the default value and delete all data.
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
-
2 5
ENTER ENTER
5
ENTER
*
h(b+c)
(A = area h = height
1
h(b+c).
2
=
a /b
2
1
*
+
B
ALPHA
*
7 ENTER
*
EL-9650/9600c 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
3-3