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Use the iterative formula xn+1 = 3 - √x with x0 = 2 to find the solution to f(x) correct to 2 decimal places. Plz I need this done quickly.

Use the iterative formula xn+1 = 3 - √x with x0 = 2 to find the solution to f(x) correct to 2 decimal places. Plz I need this done quickly. class=

Answer :

billgkgk

Answer:

X1. 1.5858

X2. 1.7407

X3. 1.6806

X4. 1.7036

X5. 1.6947

X6. 1.6947

X7. 1.6982

Step-by-step explanation:

The process is to take the result of the first calculation √2= 1.14 and substitute it for x in √x. Subtract that from 3. You get 1.5858. Take √1.5858. Then take the result of that and substitute for x in√x subtract from 3. . . Over and over again until the results narrow down, then reverse direction.

The actual solution to the function found from iteration is approximately in the vicinity of the narrowed results. Here, 1.69.

I'm just learning this too. So I hope someone else can confirm this answer or add a correction.

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