#Quadratic equations how to
Learn how to find the roots of a quadratic equation. Then by the approach of factoring quadratic equations the linear factor of the given equation is (x – p)(x – q), where p and q are the roots of the quadratic equation. The factorization method in quadratic equations points toward transforming the quadratic equation into the product of two linear factors or you can understand this as a method to get the roots of a quadratic equation.įor example, if we take the general quadric equation \(ax^2 + bx + c = 0\). These are counted under some of the frequently asked examinations like SSC JE, and SSC CGL, followed by banking exams like SBI PO, SBI Clerk, IBPS PO, IBPS Clerk, etc. We will also list a few solved examples to help you understand the various concept in a better way. In this article, we will learn how to solve quadratic equations by factoring using different methods. These are one variable equation that can be solved by the factorisation method. However, I have not seen any previously-existing book or paper which states the same pedagogical method and justifies all steps consistently, and so I chose to share it to provide a safely referenceable version.Quadratic equations are an important part of algebra and quantitative aptitude. In retrospect, the combination of these steps is something that anyone could have come up with, which makes it more surprising that this method is not commonly known. I found that the individual steps of this method had been separately discovered by ancient mathematicians, and some deep digging unearthed modern teachers who were on the same track. I publicly shared a formal article, while continuing to investigate mathematical history around quadratic equations. Adding this technique as a standard method would directly improve the learning experience for anyone trying to understand this topic, which is part of the regular mathematical curriculum everywhere in the world. I was very surprised, as this method was easier to understand than what is typically written in textbooks. One night in September, while brainstorming different ways to think about the quadratic formula, I came up with a simple way to solve quadratic equations that I had never seen before.
I've recently been thinking about how to explain school math concepts in more thoughtful and interesting ways, while creating my Daily Challenge lessons.