Casio fx-9750G Differential/Quadratic Differential, Inte Manual de usuario Pagina 3

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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.
uu
uu
u 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)
xo is given. Using this starting value as a
base, approximate value x1 is obtained, and then the left side and right side calcula-
tion results are compared. Next, approximate value x1 is used as the initial value to
calculate the next approximate value x2. This procedure is repeated until the differ-
ence between the left side and right side calculated values is less than some minute
value.
uu
uu
uTo 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
+ 7x – 9 = 0
Input the function f(x).
AK4(CALC)1(Solve)
cvx+hv-j,
P.64
Initial estimate value Upper limit
Lower limit
1 23456
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