Use Newton's method to approximate a root of the equation
x 7 + 4 x 4 + 4 = 0 \displaystyle {x}^{{7}}+{4}{x}^{{4}}+{4}={0} x 7 + 4 x 4 + 4 = 0 as follows.
Let
x 0 = 1 \displaystyle {x}_{{0}}={1} x 0 = 1 be the initial approximation.
The second approximation,
x 1 = \displaystyle {x}_{{1}}= x 1 = Preview Question 6 Part 1 of 2
and
x 2 = \displaystyle {x}_{{2}}= x 2 = Preview Question 6 Part 2 of 2 Submit Try a similar question
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)