Kaeden

Mathematics

19 June, 01:30

Jacob is solving the equation below using successive approximations. 2^x-4=3^-x-2 He started from a graph where he found the solution to be between 1 and 2. Using the lower and upper bounds from the graph, Jacob did the following work for the first iteration. Step 1 Rewrite the equation so that it equals zero on one side. Step 2 Evaluate the rewritten equation at the lower and upper bounds. To find the solution that lies between 1 and 2, set these values as the lower and upper bounds while finding the solution. Step 3 Take the average of the lower and upper bounds. Step 4 Evaluate the rewritten equation at x =. Step 5 Since this value is positive, replace the previous lower bound so that the bounds are now x = and x = 2. Where did Jacob make a mistake, and what was the error?