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I am attempting to resolve the following problem:

Find an approximation to $\sqrt{5}$ correct to an exactitude of $10^{-10}$ using the bisection algorithm.

From what I understand, $\sqrt{5}$ has to be placed in function of $x$ but I am not sure where to go from there.

Also, a function in Mathematica are given to do the calculations in which the function $f(x)$, $a$ and $b$ (from the interval $[a, b]$ where $f(a)$ and $f(b)$ have opposite signs), the tolerance and the number of iterations.

Answers