Solving Quadratic Equations Using Square Roots - Problem 3

By now when you guys see quadratic equations with no b term you’re probably ready to go ahead and taking square root to both sides.

But first I need to get the x² piece by itself before I subtract 36 from both sides. Oh-Oh! X² equals -36. This is bad news because what I want to do it take the square root of both sides. But you guys know that there is no real square root of a negative numbers so for this square root I’m just going to write no real solutions.

That’s it, what that means is that no real number ever, ever, ever if I substitute it in there for x² and add 36 I’m never going to get 0 as my answer. So sometimes this happens in Math sometimes there’s problems where there is no real solutions. That’s it, kind of easy, you’re done.