Casio FX-991ES User Guide - Page 31

Using SOLVE - solve equations

Page 31 highlights

s (or=) 10= • To exit CALC, press A. • If the expression you are using contains more than one variable, an input prompt appears for each one. Appendix Calculate an +1 = an + 2n (a1 = 1) as the value of an changes from a2 to a5. (Results: a2 = 3, a3 = 7, a4 = 13, a5 = 21) *1 Assigns 1 to a1. *3 Value of a2 *5 Assigns 2 to n. *7 Value of a4 *2 Assigns 1 to n. *4 Assigns value to a2. *6 Value of a3 *8 Value of a5 Using SOLVE (COMP) SOLVE uses Newton's Method of approximation to solve an equation. You can use SOLVE in the COMP Mode (N1) only. k Rules Governing Equations when Using SOLVE • You can use the following types of syntax for the solution variable. Example: Y = X + 5, Y (Solves for Y.); XB = C + D, B (Solves for B.) The following shows the syntax for the log function. Y = X × log(2 (When the variable specification ",X" is omitted, the equation Y = X × log102 is solved for X.) Y = X × log(2,Y (When the variable specification ",Y" is included, the equation Y = X × log102 is solved for Y.) Y = X × log(2,Y) (When the variable specification ",X" is omitted, the equation Y = X × log2Y is solved for X.) • Unless you specify otherwise, an equation is solved for X. Example: Y = X + 5, X = sin(M), X + 3 = B + C, XY + C (Treated as XY + C = 0.) • SOLVE cannot be used to solve an equation that contains an integral, derivative, Σ( function, Pol( function, Rec( function, or multi-statement. E-29

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E-29
s
(or
=
)
10=
• To exit CALC, press
A
.
• If the expression you are using contains more than one variable,
an input prompt appears for each one.
Appendix
<#016>
Calculate a
n
+1
= a
n
+
2
n
(a
1
= 1) as the value of a
n
changes
from a
2
to a
5
. (Results: a
2
= 3, a
3
= 7, a
4
= 13,
a
5
= 21)
*1
Assigns 1 to a
1
.
*2
Assigns 1 to
n
.
*3
Value of a
2
*4
Assigns value to a
2
.
*5
Assigns 2 to
n
.
*6
Value of a
3
*7
Value of a
4
*8
Value of a
5
Using SOLVE
(COMP)
SOLVE uses Newton’s Method of approximation to solve an equation.
You can use SOLVE in the COMP Mode (
N
1
) only.
k
Rules Governing Equations when Using
SOLVE
You can use the following types of syntax for the solution variable.
Example:
Y = X + 5, Y (Solves for Y.);
XB = C + D, B (Solves for B.)
The following shows the syntax for the log function.
Y = X
×
log(2
(When the variable specification “,X” is omitted,
the equation Y = X
×
log
10
2 is solved for X.)
Y = X
×
log(2,Y
(When the variable specification “,Y” is included,
the equation Y = X
×
log
10
2 is solved for Y.)
Y = X
×
log(2,Y)
(When the variable specification “,X” is omitted,
the equation Y = X
×
log
2
Y is solved for X.)
• Unless you specify otherwise, an equation is solved for X.
Example:
Y = X + 5, X = sin(M), X + 3 = B + C,
XY + C (Treated as XY + C = 0.)
• SOLVE cannot be used to solve an equation that contains an
integral, derivative,
Σ
( function, Pol( function, Rec( function, or
multi-statement.