Quadratic Formula : A Better way of Solving Quadratic Equations

Algebra is regarded as the most important part of mathematics. There are many interesting topics in algebra that you may get to learn. However quadratic equations are known to be some of the most common discussions among the learners. There can be many different ways to solve quadratic equations well. However, with the need of some easy methods, the emergence of the quadratic formula is considered to be great. There are many important things that you may need to know about this topic in order to be perfect in it. Here, we are going to discuss some easy ways of solving problems for the beginners.

Quadratic Formula

Significance

There are many different types of methods and formula that are used to solve equations whether linear or quadratic. However, there can be many complexities associated with the solutions of the quadratic equations however there have been many other formula that are designed specially to make this procedure easy. Some quadratic equations cannot be factored readily because of different reasons. Therefore you need to take up certain necessary steps so that the equation is ready to be factored. You can also choose to factor the trinomial and then use the square root property to solve the equations.  

However, all these factoring and finding the square root will make the solution lengthy and more confusing for the student. Therefore the best way to simplify the solution is to use the quadratic equation for getting the answer. We will further learn about the use of the formula and also what it exactly is. 

The formula is the simplified form of the complete result that you may get through the factoring of the trinomial. The formula is: 

For a trinomial that is in the form ax² + bx + c = 0. Thus with this, you can simplify the solution for your problems and get the right answers in the least time with least efforts.

Clear the concept

Now understand in deep, recall the steps that were involved in completing the square for the equation. We will do it by completing the square of the general equation i.e.

ax² + bx + c = 0 and see how the formula came into existence.

·         It starts from the equation x² + bx + c = 0

.

·         Now rewrite so that the variable is isolated to one side: .x² + bx 

·         Add (b/2)²

 to both the sides and complete the square.

·         Now solve for the value of x after rewriting the square of the binomial. 

 

Thus you just need to learn a single formula, and you can eliminate the so many long processes involved in the solution to get the right answers. This way you will always be able to solve the quadratic equation in the best way and also get the right answers at once. There are many more interesting things that you will get to know as you practice for the formula. Therefore from the above discussions, it can be said that the quadratic formula is a no different concept. It is just the summarized form of the complete steps involved in solving the quadratic equations. Therefore it is better to use this to solve the algebraic problems rather than using long steps and getting confused.