Sharp EL-9650 Solving a Literal Equation Using Newtons Method Area of a Trapezoid, Example, h b+c

EL-9650/9600c Graphing Calculator

Solving a Literal Equation Using Newton's Method (Area of a Trapezoid)

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	h(b+c)	(A = area h = height b = top face c = bottom face)
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1. Find the height of a trapezoid with an area of 25in2 and bases of length 5in 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 50in2 with bases of 8in and 10in 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 Display Notes

*Use either pen touch or cursor to operate.

1-1Access the Solver feature.

2nd F SOLVER

1-2Select Newton's method for solving.

2nd F SOLVER A *

2*

1-3Enter the formula A = 21 h(b+c).

ALPHA	A	ALPHA	=	1		a/b	2		*
ALPHA	H	(	ALPHA		B	+		ALPHA

C )

1-4Enter the values: A = 25, B = 5, C = 7

ENTER 2 5 ENTER *

* 5 ENTER * 7 ENTER

This screen will appear a few seconds after “SOLVER” is dis- played.

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