9514 1404 393
Answer:
no iterations shown; the root is approximately -1.12911
Step-by-step explanation:
If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...
-1.5, -1.25, -1.125, -1.1875, -1.15625
__
If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...
-1.1905079, -1.1309053, -1.1291151, -1.1291135
Another iteration confirms this last value is accurate to 8 significant figures.
