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Homework Statement
"Use a fixed-point iteration method to find an approximation to \sqrt[3]{25}that is accurate to within10^-4"
i need the solution in step by step ...
Homework Equations
x=g(x)
The Attempt at a Solution
all i can get is the range
\sqrt[3]{8} \leq\sqrt[3]{25} \leq \sqrt[3]{27}
then [a,b] = [2,3]
i can't get g(x) or solve this problem.
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update I've completed some of the question but still i get wrong answer
x^3-25=0
x.x^2=25
x^2=25/x
x= 5/\sqrt[2]{x}
g(2)= 5/\sqrt[2]{2} = 3.53553391 ( not in the bounded area)
g(3)=5/\sqrt[2]{3} = 2.88675135 (correct)
i can't use this formula unless both answers are withing the range 2-3...
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