Introduction to Quadratic Equations
I was just watching an interesting video. Here, have a look, Interesting. Wasn’t it?interesting the first thing that came to my mind on watching this thoughts of going to Disney land or learning to juggle. Though I will probably do that some day. Unfortunately what the nerd in me first thought was quadratic equation. You wondering that is the thing that you would have thought about. Right? But, go back, think about what you studied in your tenth class? You studied quadratic equations, what did they look like? The quadratic equation looks something like this? A parabola in mathematical terms or a smiley in layman’s language. Now go back to the video. You will actually find them everywhere. So quadratics are everywhere. Right? You see smileys everywhere, you would have guessed by now what is the topic today’s going to be yes the topic for today is theory of equations . so theory of equations in general but quadratic equations in particular. Equations in general aren’t that interesting. Are they? X s and Ys are as detach from reality as anything could be. In fact when Stephen Hawkings was writing his book, somebody told him that every equation that he put in would actually half his readership. As far as that people dislike equations so much and he actually took their advice, he did not, he put just one equation, that is e=mc 2 which every body probably heard of and at the far end of the book. So though equations really need to be that boring . is it necessary that equations have to be really boring? Or can we actually make them interesting? Because if a quadratic is a smiley, a smiley cannot be that boring, is it? Let’s see if we can actually use graphs to start learning quadratic equations and make them much more interesting. Let’s start with quadratics. So what is a quadratic? Very simple. A quadratic is nothing but an expression where the degree of the variable is 2. Degree as we know is nothing but the highest part of the variable. So if I have, say, x 2 +3x+6 that would be a quadratic polynomial.if I put equal to zero, it becomes a quadratic equation. Or x2 = 5, again a quadratic , X2 + 9=0, again a quadratic. So all you need to do is check whether the degree of variable is 2 or the highest part of the variable is 2. Seems simple enough ,right?