Hey, everyone. As you solve quadratic equations using the square root property, you may end up getting an imaginary or a complex root. But that's totally fine because we know how to deal with complex numbers, and we're just going to simplify it as we would any complex number. So let's look at an example. Here we have x2 + 4 equals 0. And I want to solve this using the square root property. So starting with step 1, of course, I want to isolate my squared expression. Now my squared expression is just this x2 so I want to go ahead and get that by itself by first moving this 25 over and I can do that by just subtracting 25 from both sides. I'm left with 4 x2 = - 25 and then divide by 4 to get that x2 by itself. I am left with x2 = - 254. So step 1 is done. I have isolated my squared expression and now I want to take the positive and negative square root. So taking the square root of both sides here it will cancel on this side. I'm left with x is equal to ± - 254. Now I can go ahead and simplify this further and I can separate it out into ± - 25 / 4 just using my radical rules. Now I have a negative under the square root here but it's totally fine because we've seen this before and we know how to deal with it. So let's go ahead and simplify this. Now this square root of negative 25 is just going to become 5i and then we know that the square root of 4 is just 2. So really, this simplifies all the way into ± 5i2. So we have completed step 2. We've taken our positive and negative square root, and x is actually already by itself so step 3 is done as well. And now I just have my solution. So my solution is x is equal to ± 5i2. And I can, of course, separate these into the positive and negative if I want as well. Now whenever you're dealing with a complex answer, it's totally fine. It's fine to have the imaginary unit. And a clue that you might end up with a complex answer is if in your imaginary unit. And a clue that you might end up with a complex answer is if in your standard form equation a and c have the same sign, then you're always going to end up with a complex answer. That's all there is for imaginary roots. I'll see you in the next video.