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To solve equation using Newton's method apply the formula,
Plug in f(x) and f'(x) in the formula,
See the attached graph for getting the initial values of x . The curve intersects the x axis at `~~` 0.20 and 1.1.
Let's solve for the first zero x_1=0.2, carry out iteration until we have same approximations at decimal places.
Now we have two approximations that have same decimal places,
Now let's solve for second zero x_1=1.1,
So the roots of the equation to the eight decimal places are 0.21916367 , 1.08422461
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