We find approximations to the rational number 2 1.4142 by considering the root-finding problem f (x)
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Question:
We find approximations to the rational number √2 ≈1.4142 ··· by considering the root-finding problem f (x) = x2 −2.
(a) Using Bisection method with the initial [a0, b0] = [1, 2], find p2.
(b) Convert this root-finding problem to a fixed-point problem x = g(x).
Choosing an initial guess p0 and performing two iterations to find p2.
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