AIR MATH

Math Question

The function \( f(x)=g(x) \), where \( f(x)=2 x-5 \) and \( g(x)=x^{2}-6 \). The table below shows the process of solving using successive approximations. \begin{tabular}{|c|c|c|} \hline\( x \) & \( f(x) \) & \( g(x) \) \\ \hline 0 & \( -5 \) & \( -6 \) \\ \hline 1 & \( -3 \) & \( -5 \) \\ \hline 2 & \( -1 \) & \( -2 \) \\ \hline 3 & 1 & 3 \\ \hline \( 2.5 \) & 0 & \( 0.25 \) \\ \hline \end{tabular} Continue this process to find the positive solution to the nearest tenth.

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