2 solve calculations – Casio fx-9750G Differential/Quadratic Differential, Integration, Value User Manual
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65
3-2 Solve Calculations
To solve calculations, first display the function analysis menu, and then input the
values shown in the formula below to determine root
x
values in the function
f(x)
.
1
(Solve)
f(x)
,
n
,
a
,
b
)
With Solve calculations, the root of a function is determined using Newton’s method.
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Newton’s Method
This method is based on the assumption that
f(x)
can be approximated by a linear
expression within a very narrow range.
First, a starting value (predicted value)
x
o
is given. Using this starting value as a
base, approximate value
x
1
is obtained, and then the left side and right side calcula-
tion results are compared. Next, approximate value
x
1
is used as the initial value to
calculate the next approximate value
x
2
. This procedure is repeated until the differ-
ence between the left side and right side calculated values is less than some minute
value.
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To perform solve calculations
Example
To calculate the value of root
x
in the following formula when
the initial estimated value is
n
= 1
, the lower limit is
a
= 0
, and the
upper limit is
b
= 1
:
2
x
2
+ 7
x
– 9 = 0
Input the function
f(x)
.
A
K4
(CALC)
1
(Solve)
cvx+hv-j,
P.64
Initial estimate value
Upper limit
Lower limit
1
2 3 4 5 6