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By using fixed point iteration method, find the root of the equation 2x = cos x + 3. Correct to three decimal places. |
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Answer» Given : COS x-2x+3=0 To Find : root of the equation CORRECT to three decimal places Solution: cos x-2x+3=0 -1 ≤ cos x ≤ 1 -2x+3 = -cos x -1 ≤ -2x+3 ≤ 1 => -4 ≤ -2x ≤ - 2 => 2 ≥ x ≥ 1 1 ≤ x ≤ 2 using bisection method x cos x-2x+3 1 1.540302306 2 -1.416146837 1.5 0.070737202 1.75 -0.678246056 1.625 -0.304177135 1.5625 -0.116703768 1.53125 -0.02296398 1.515625 0.023893342 1.5234375 0.000466126 1.52734375 -0.011248596 1.525390625 -0.005391149 1.524414063 -0.002462489 1.523925781 -0.000998176 1.523681641 -0.000266024 1.52355957 0.000100051 1.523620605 -8.29863E-05 root of the equation cos x-2x+3=0 is 1.523 correct to three decimal places Learn More: Use bisection method to find root of the equation x3 – 2x – 5 = 0 ... Find the root of the equation x^3-2x-5= 0 by Bisection method ... |
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