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Find the Value o Y in the egution 422x-1 until the S(x)is less than o eaual to o.oal Be able absolute of Value To Present the
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Answer #1

f(x) = x^5 - 4*x^3 - 2*x + 1

f ' (x) = 5 x^4 - 13 x^2 - 2

f (2) = - ve whereas f (3) = +ve

Hence root must lie between 2 and 3. So let xn = 2.5 be the initial solution.

No of iterations xn f(xn) f'(xn) xn+1 =xn - f(xn) / f'(xn) error = xn+1 - xn
1 2.5 31.15625 118.3125 2.236661384 -0.263338616
2 2.236661 7.745618 63.10089 2.113911639 -0.122749745
3 2.113912 1.198912 44.21946 2.086798872 -0.027112767
4 2.086799 0.049987 40.56159 2.085566493 -0.001232379
5 2.085566 9.99E-05 40.39951 2.08556402 -2.47305E-06

now the error < 0.001 hence the final answer = 2.08556402

10 (2.132, 0 (0.388, 0) 4 3 4 (2.086, 0)

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