anonymous
  • anonymous
Use the bisection method to find an approximate solution for the equation x^2+x=1 Start with the interval [0,1].
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
What size interval do you require?
anonymous
  • anonymous
For an interval of size 0.5: f(0)=-1, f(1)=1, f(0.5)=-0.25 Therefore, the root lies in the interval: \[0.5< x < 1\] (because there is a sign change). Then repeat the process as necessary, each time using the midpoint of the previous interval to form the new interval.

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