3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{44ddb176-e265-4545-b438-c1b5ffb40852-04_997_1155_223_456}
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\caption{Figure 2}
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An algorithm for finding the positive real root of the equation \(8 x ^ { 4 } + 5 x - 12 = 0\) is described by the flow chart shown in Figure 2.
- Use the flow chart, with \(a = 1\), to complete the table in the answer book, stating values to at least 6 decimal places. Give the final output correct to 5 decimal places.
Given that the value of the input \(a\) is a non-negative real number,
- determine the set of values for \(a\) that cannot be used to find the positive real root of \(8 x ^ { 4 } + 5 x - 12 = 0\) using this flow chart.