NEWTON RAPHSON METHOD

NEWTON RAPHSON METHOD

Using Scientific Calculator Casio fx 570 es plus

Use the Newton-Raphson method to find the solution of the equation
2sin x – x = 0 with the initial value of xo=1.5. Give the answer correct to
three decimal places.

Newton xn1  xn  2sin xn  xn Set scientific calculator
Raphson formula 2cos xn 1 in RADIAN MODE

Action Steps
Select
COMP Mode MODE 1 (COMP )
Set RAD
Mode SHIFT MODE 4 =

Action X Steps X
Key in the formula
 2 sin 2 cos
ALPHA
1
 ALPHA X
X
ALPHA

Use CAL function CACL
to evaluate the 1. 5=
value of x1 by using
the initial xo=1.5

Action CACL Ans Steps

Proceed the =
step above to
get the
following value
of x2.

Repeat the CACL Ans =

Answer of x until the iteration | x6 – x5 | < 0. 0001
The root is x = 1.895 ( 3 decimal places)