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GATE ME 2021 Set 2 — Question 45

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NAT+2 / -0EasyNewton-Raphson MethodNumerical MethodsEngineering Mathematics

Engineering Mathematics → Numerical Methods → Newton-Raphson Method

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Question

Find the positive real root of x3−x−3=0x^3 - x - 3 = 0 using Newton-Raphson method. If the starting guess (x0x_0) is 2, the numerical value of the root after two iterations (x2x_2) is ________ (round off to two decimal places).
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