(i)[4]
Find the coordinates of point $P$.
(ii)[4]
Find the curve's equation.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The curve satisfies $\frac{dy}{dx} = 5 - \frac{8}{x^2}$. At the point $P$ on the curve, the normal is given by the line $3y + x = 17$. The $x$-coordinate of $P$ is positive.