00:01
We're being asked to solve the given equation using the quadratic formula, which as you can see, i wrote here off to the right.
00:07
Well, our equation is already set equal to zero.
00:09
So let's establish our a, b and c values.
00:11
So for this equation, a will equal to 4, b will be equal to negative 2, and c will be equal to positive 3.
00:19
So let's go ahead and substitute our values into our formula.
00:22
So we're going to have q equals minus negative 2 plus or minus the square root of negative 2 squared, minus 4 times 4 times 3, and this is all getting divided by 2 times 4.
00:37
So now we just need to simplify.
00:39
Well, first we have minus negative 2, which is just positive 2.
00:43
Next, we'll have negative 2 squared, which is positive 4, and then we'll multiply.
00:48
Well, negative 4 times 4 is negative 16, and negative 16 times 3 is negative 48.
00:55
This is all getting divided by 2 times 4, which is 8.
00:59
Well, 4 minus 48 is negative 44.
01:02
So if q equals 2 plus or minus the square root of negative 44, all divided by 8.
01:09
So now we need to simplify the square of the negative 44.
01:13
Well, we can start by writing it as the square of the negative 1 times the square of the 44...