Type your response in the box. Solve the equation x^2-5=sqrt(x-2) by using successive approximation. Set the left-hand side of the equation equal to f(x) and the right-hand side equal to g(x) : f(x)=(x^2)-5 and g(x)=sqrt(x-2). Then answer the questions in the table. Question Answer 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 from four iterations of successive approximation?

Solutions to Problems

on the Newton-Raphson Method

These solutions are not as brief as they should be: it takes work to

be brief. There will, almost inevitably, be some numerical errors. Please

inform me of them at a\a. We will be excessively casual in

our notation. For example, x3 = 3.141592654 will mean that the calculator

gave this result. It does not imply that x3 is exactly equal to 3.141592654.

We should always treat at least the final digit of a calculator answer

with some skepticism. Indeed different calculators can

Step-by-step explanation:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

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step-by-step explanation: