Find the positive real root of (x) = x 4 8x 3 35x 2

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Find the positive real root of ƒ (x) = x4 – 8x3 – 35x2 + 450x – 1001 using the false-position method. Use initial guesses of xt = 4.5 and xa = 6 and performs five iterations. Compute both the true and approximate errors based on the fact that the root is 5.60979. Use a plot to explain your results and perform the computation to within ε= 10%.

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Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

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