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NEWTON RAPHSON METHOD Iter No 1 3 19 58 2.6724137931 2 2.6724137931 3.523232 37.49256 2.5784422813 3 2.5784422813 0.229672 32.67951 2.5714142631 4 2.57141426308 0.001203 32.3375 2.5713770533 5 2.5713770533 3.36E-08 32.33569 2.5713770523 6 2.57137705226 0 32.33569 2.5713770523 7 2.57137705226 0 32.33569 2.5713770523 8 2.57137705226 0 32.33569 2.5713770523 9 2.57137705226 0 32.33569 2.5713770523 10 2.57137705226 0 32.33569 2.5713770523 x i f(x i ) f'(x i )x i+1

Solving Polynomial Equation

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Page 1: Solving Polynomial Equation

NEWTON RAPHSON METHOD

Iter No.1 3 19 58 2.6724137931 3.523232368

2 2.6724137931 3.523232 37.49256 2.5784422813 0.22967219113 2.5784422813 0.229672 32.67951 2.5714142631 0.0012032715

4 2.57141426308 0.001203 32.3375 2.5713770533 3.35678E-085 2.5713770533 3.357E-08 32.33569 2.5713770523 06 2.57137705226 0 32.33569 2.5713770523 07 2.57137705226 0 32.33569 2.5713770523 08 2.57137705226 0 32.33569 2.5713770523 09 2.57137705226 0 32.33569 2.5713770523 0

10 2.57137705226 0 32.33569 2.5713770523 0

xi f(xi) f'(xi) xi+1 f(xi+1)

Page 2: Solving Polynomial Equation

f(x)= x4-2x3+4x-20

f'(x)= 4x3-6x2+4

xi+1=xi-f(x)/f'(xi)

1 101E+00

1E+01

1E+02

Column EColumn H

Page 3: Solving Polynomial Equation

1 101E+00

1E+01

1E+02

Column EColumn H