Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +
1 agree to three digits after the decimal point.
1 answer:
Solution :
Given


Let the initial approximation is 
So by Newton's method, we get






are identical up to eight decimal places.
The approximate real root is x ≈ 1.32471795
∴ x = 1.32471795
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2.77 ...............................
Answer:
Step-by-step explanation:
The number greater than 8 is 10 in the base 9.
2010 ₉
+ 7716 ₉
------------
10726 ₉

which evaluates to

.
One of the factors is (x+2)