Question: When solving the equation x23x+2=0 by simple, fixed-point iteration, you can rearrange the evaluation as x=g(x) in different ways. First, solve for x=g(x) by isolating

When solving the equation x23x+2=0 by simple, fixed-point iteration, you can

When solving the equation x23x+2=0 by simple, fixed-point iteration, you can rearrange the evaluation as x=g(x) in different ways. First, solve for x=g(x) by isolating the middle term. Second, solve for x=g(x) by adding x to both sides of the original equation. For each case: a. In what interval can you choose an initial guess for the iteration that will guarantee that the iteration will converge to a root? ( 10 pts.) b. What is the order of convergence near the root where your formula converges in each case? (10 pts.)

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