Callisto
  • Callisto
Let f(x) = x^5 -6x +5 (i) complete the table (done already) (ii) It is known that the equation f(x)=0 has only one root greater than 1. Using (i) and the method of bisection, find this root correct to 3 decimal places
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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Callisto
  • Callisto
Table for (i)
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Callisto
  • Callisto
To specify the problem, I don't know how to begin with doing (ii).
anonymous
  • anonymous
at x=1.05 and x=1.1, f has opposite signs so the root must be in the interval [1.05, 1.1]. so now take the midpoint of this interval to split up the intrval into two intervals. now check do the same with these two sub intervals to check where the root is... this is as far as I can remember doing the bisection method... sorry...

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anonymous
  • anonymous
could we use newton's method?
Callisto
  • Callisto
Sorry, but how can i do it, can you demonstrate a little?
Callisto
  • Callisto
As long as you've used method of bisection, i think that's okay. But another problem is i don't know what bisection method is :S
anonymous
  • anonymous
it's basically if you know a root is in some interval, take the midpoint of that interval so now you have two sub intervals. check the endpoints of these subintervals, if the sign of f is opposite at the enpoints of a particular subinterval, then the root must be in that subinterval. the process repeats....
anonymous
  • anonymous
so do I :))
anonymous
  • anonymous
haven't tackled that yet either

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