Question

The negative root of the smaller magnitude of the equation f(x) = 3x^3+10x^2+10x+7=0 is to be obtained
(i) Find the interval of unit length which contains the root.
(ii) Perform two iterations of the bisection method
(iii) Take the end point of the last interval as an initial approximation
(iv)Take the midpoint of the last interval as an initial approximation

Answer 1

Answer: (i) Find the interval of unit length which contains the root.

The equation has 3 roots. So, we have to find interval with lower bound which has negative value of the smaller magnitude.