00:01
In this problem, we're given an equation, x squared plus 5x plus 2 equals 0, and we're asked to solve it using the quadratic formula.
00:09
I have the quadratic formula in red on the screen here, but before we start plugging numbers into it, let's first define our three variables.
00:17
So, a is the coefficient in front of x to the second power.
00:21
Since there's nothing here, we assume that to be 1.
00:25
B is a variable in front of x, which is, or excuse me, the coefficient in front of x, which is positive, and c is our last number here, which is positive 2.
00:36
Now that we have our variables defined, let's plug them into our formula.
00:40
So our formula is x is equal to negative b, or negative 5, plus or minus the square root of b squared, which is 5 squared, minus 4, times a, which is 1, times c, which is 2, and that is all divided by 2 times a, which is 1.
01:00
So first let's solve this square root here...