Question

solve for x 0.115x3 - 2.069x2 + 18.612x -67 = 0

solve for x

0.115x3 - 2.069x2 + 18.612x -67 = 0

Math   Advanced-Math   
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Homework Answers

Answer #1

Given equation is whose roots we want to find

is its derivative

Using an initial point we use Newton's method to get the following table of iterates:

means

n x f(x) f'(x)
0 0.000000000 -67.000000000 18.612
1 3.599828068 -21.447007529 8.186684386
2 6.219570874 -3.608516715 6.221072064
3 6.799618281 0.048266960 6.426188578
4 6.792107303 0.000015571 6.422048937

So we get the root as for which

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