Question

Help!!!

Consider the following equation.
2^(x)+3=3^(-x)
If the equation is solved using successive approximation, match the value of x to the following iterations.

Answer 1

-5/4

-9/8

-19/16

Explanation:

This is the answer given

Answer 2

9514 1404 393

Answer:

no iterations shown; the root is approximately -1.12911

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.