Casio fx-9750G Differential/Quadratic Differential, Integration, Value - Manual (Page 3)

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