## Related questions with answers

Question

Use Newton’s method to find the positive fourth root of 2 by solving the equation $x^{4}-2=0.$ Start with $x_{0}=1$ and find $x_{2}.$

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 3To solve $x^4 - 2= 0$ we let

$f(x) = x^4 - 2$

then

$f'(x) = 4x^3$

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