Shortest distance from point to curve I could use some help solving the following problem. I have many more like this but I figured if I learn how to do one then I can figure out the rest on my own. Thanks in advance!

A curve described by the equation $y=\sqrt{16x^2+5x+16}$ on a Cartesian plane. What is the shortest distance between coordinate $(2,0)$ and this line?


Hint 1: take a point $(x, y)$ on the curve, calculate its distance from $(2, 0)$. The fact that the point is on the curve allows you to express that distance in terms of $x$ alone. Then find the minimum (but check the second hint first).
Hint 2: instead of minimizing the distance, minimize the square of the distance.
