Solving A System Of Nonlinear Equations - Texas Instruments TI-83 Manual Book

Solving a System of Nonlinear Equations

Problem
Procedure
17-6 Applications
Using a graph, solve the equation X
another way, solve the system of two equations and two
3
unknowns: Y = X
to control the decimal places displayed on the graph.
1. Press z. Select the default mode settings. Press o.
Turn off all functions and stat plots. Enter the functions.
2. Press q
to select
4
that two solutions may exist (points where the two
functions appear to intersect).
3. Press q ~
menu. Set
MEMORY
4. Press q
to select
2
to move the free-moving cursor onto the apparent
intersection of the functions on the right side of the
display. As you move the cursor, notice that the
values have one decimal place.
5. Press Í to zoom in. Move the cursor over the
intersection. As you move the cursor, notice that now
the and values have two decimal places.
X Y
6. Press Í to zoom in again. Move the free-moving
cursor onto a point exactly on the intersection. Notice
the number of decimal places.
7. Press y [
CALC
select the first curve and Í to select the second
curve. To guess, move the trace cursor near the
intersection. Press Í. What are the coordinates of
the intersection point?
8. Press q
to select
4
original graph.
9. Press q. Select
through 8 to explore the apparent function intersection
on the left side of the display.
3
N2X and Y = 2cos(X). Use
4:ZDecimal
to select
4 4:SetFactors
and
XFact=10
2:Zoom In
] to select
5 5:intersect
4:ZDecimal
and repeat steps 4
2:Zoom In
N 2X = 2cos(X). Stated
factors
ZOOM
. The display shows
from the
ZOOM
.
YFact=10
. Use |, ~, }, and †
and
X
. Press Í to
to redisplay the
Y