The points \(P\) and \(Q\) lie on the curve with equation \( y= \mid \mid x^2-5^2 \mid - 4^2 \mid \) with \(Q\) on the \(x\)-axis.
If the tangent at \(P\) passes through \(Q\), what is the \(x\)-coordinate of \(P\) (to 3 sig.figs.)?
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