A curve is such that \(\frac{dy}{dx} = 5 - \frac{8}{x^2}\). The line \(3y + x = 17\) is the normal to the curve at the point \(P\) on the curve. Given that the \(x\)-coordinate of \(P\) is positive, find

1. the coordinates of \(P\),
2. the equation of the curve.