What is the vertex form of #2y=5x^2-3x+11 #?
...I can never remember it, so I always have to look it up.
So, for your original equation
Firstly, you need the
So divide both sides by 5:
...now you have to perform the infamous "complete the square" maneuver. Here's how I go about it:
Say that your
So, if we add and subract this from the quadratic equation, we'd have:
...and now the 1st 3 terms of the right side are a perfect square in form
...so you can write:
So now, all you gotta do is multiply through by
which is vertex form,