Question

Solve the equation 2^x + 5 = 3^x + 1 through three iterations of successive approximation. then answer the questions in the table

what is the approximate solution after three iterations?

what is the approximate solution after four iterations?

use graphing technology to find the most accurate answer possible. how does this answer compare with the solution found by four iterations of successive approximation?

Answer 1

Explanation:

1. 29/16=1.8125

2. 59/32=1.84375

3. (word by word so make sure to kinda change it up) Solution found using graphing technology: 1.8453.

1.8453 - 1.84375 = 0.00155. This solution is very close to the solution found using graphing technology.

Answer 2

1. 29/16=1.8125

2. 59/32=1.84375

3. (word by word so make sure to kinda change it up) Solution found using graphing technology: 1.8453.

1.8453 - 1.84375 = 0.00155. This solution is very close to the solution found using graphing technology.

Explanation: