00:01
Here i want to solve the quadratic inequality.
00:03
So i'm going to start by solving the associated quadratic equation, which i'm going to solve by a process called completing the square.
00:15
To complete the square, i subtract c from both sides.
00:22
Then i'm going to add a constant k.
00:27
So from here i need to figure out the value of k.
00:31
We have a formula for k that says it's going to equal b over 2 squared, which in this case is going to simplify down to nine -fourths.
00:41
So i have x squared minus 3x plus nine -fourths equals negative six plus nine -fourths.
00:51
From here, i can factor the left -hand side into a perfect square trinomial.
00:59
Then i'm going to add together my right -hand side by finding a common denominator of four...
