1987 ext1 Q5 (d) (1 Viewer)

[Sirius Black]

The polynomial equation F(x)= 8x^3+ 12x^2- 18x-20=0 has a root at x=-2
(d) Willy chose an initial approximation of x1=0.49 and used Newton's method a number of times in order to approximate a root of f(x)=0. State, giving reasons, the root of f(x)=0 to which Willy's approximations are getting closer. ( It is not necessary to do additional calculation.)

This question doesn't look hard but i didn't get wat the question means

Thanx a lot

 

[Li0n]

your right, that question makes absolutely no sense to me...

maybe its asking for the closer side of the root?

 

[withoutaface]

I think for that question you've already drawn the graph, so you choose a point between the point of inflection and the root, that way each new estimate will get closer to the actual root.