Casio FX-991ES User Guide - Page 33

Solution Screen Contents, Continue Screen - graphing

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• SOLVE uses Newton's Method, so even if there are multiple solutions, only one of them will be returned. • Newton's Method can have problems obtaining solutions for the following types of functions. - A periodic function (y = sin(x), etc.) - A function whose graph includes a steep slope (y = e x, y =1/x, etc.) - A discontinuous function (y = 'x, etc.) Solution Screen Contents Input equation Solution variable Math Solution (left side) - (right side) form result • The "(left side) - (right side) form result" shows the result when the obtained solution is assigned to the solution variable. The closer this value is to zero, the higher is the precision of the obtained solution. Continue Screen SOLVE performs convergence a preset number of times. If it cannot find a solution, it displays a confirmation screen that shows "Continue: [=]", asking if you want to continue. Press = to continue or A to cancel the SOLVE operation. Appendix Solve y = x2 - x + 1 for x when y = 3, 7, 13, and 21. (Solutions: x = 2, 3, 4, 5 when y = 3, 7, 13, 21 respectively) *1 Assigns 3 to Y. *2 Assigns an initial value of 1 to X. E-31

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E-31
• SOLVE uses Newton’s Method, so even if there are multiple
solutions, only one of them will be returned.
• Newton’s Method can have problems obtaining solutions for the
following types of functions.
- A periodic function (
y
= sin(
x
), etc.)
- A function whose graph includes a steep slope
(
y
=
e
x
,
y
=1/
x
, etc.)
- A discontinuous function (
y
=
'
x
, etc.)
Solution Screen Contents
•
The “(left side) – (right side) form result” shows the result when the
obtained solution is assigned to the solution variable. The closer
this value is to zero, the higher is the precision of the obtained
solution.
Continue Screen
SOLVE performs convergence a preset number of times. If it cannot
find a solution, it displays a confirmation screen that shows “Continue:
[=]”, asking if you want to continue.
Press
=
to continue or
A
to cancel the SOLVE operation.
Appendix
<#017> Solve
y
=
x
2
–
x
+ 1 for
x
when
y
= 3, 7, 13, and 21. (Solutions:
x
= 2, 3, 4, 5 when
y
= 3, 7, 13, 21 respectively)
*1
Assigns 3 to Y.
*2
Assigns an initial value of 1 to X.
Math
Input equation
(left side) – (right side) form result
Solution
Solution
variable