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- Solve 2x cos2x + 3 = (x - 2)² using Newton-Raphson Method and an intial value of 1 with an error less than 1%. Round-off answer to six decimal placesHow many iterations are needed to obtain the root of f(x) = 3x + cos2x if the bracket is (-0.5, 0) and the false position method is used? Initial approximation should be counted as one iteration. Round off your approximations to 3 decimal places.1. Estimate the root of the expression, f(x) = x² – cos x, using: b. False Position Method in the interval [-1,0] with error tolerance of 0.0001%