Determine the value of $x$ within the interval $(0,1)$ that minimizes the function $f=(x-1)(x-2.5)$ to within $pm
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Determine the value of $x$ within the interval $(0,1)$ that minimizes the function $f=(x-1)(x-2.5)$ to within $\pm 0.025$ by (a) the Fibonacci method and (b) the golden section method.
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