Tricks to Get the Roots of any Quadratic Equation

Understanding the form of an equation is important. Every equation has a certain value of a degree. Once you understand, you can determine the type of equation it belongs to. The equation with a degree 2 is known as the quadratic equation. You will get problems related to finding out the roots of a quadratic equation. The normal form of this equation is ay² + by + c = 0. It means that you will have to find the two roots present in it. A common procedure to get these roots is “completing the square method”. 

Ways to approach this process: The first step is to know the category of the equation. If it is a quadratic equation, then only you can apply this method. These are the simple steps a person has to follow:

Step 1: Make sure that you have kept the “c” on the right-hand side. It helps you to find a substitute value for the remaining part.

Step 2: Next, you have to check whether the equation is equal to 1 or not. If yes, then straight away divide the equation with ‘a’ into both sides. 

Step 3: When you notice the variable x, you will find that it has a coefficient. Divide it by 2 and then square it to get a result. You have to add this result on both sides present in the equation. 

Step 4: After that, you have to make a square of the binomial term in the equation. It will help you to factorize with the left portion of the quadratic equation. 

Step 6: Use the square of both sides that are present in the given equation.

Step 7: Lastly, solve the obtained equation to get the value of x. 

What is the meaning of square root property?

This is a simple way to find the roots of a quadratic equation. Your main aim will be to separate the y² portion from the equation ay² + by + c = 0. Once you solve it with middle term factorization, you will get two values for the variable ‘y’. These are the two roots of the equation that you are required to find. Students can use this method to find an easy solution for any typical problem. It is much less confusing for beginners to solve them. 

Graphing: Once you solve the equation, you can also plot it against a graph. You can put the value of the coefficients to find the points of the x and y-axis. These graphs are used to find other parts of the problems as well. Depending on what value you choose, the shape will be different. 

Understanding the types of polynomial equations is crucial for students. It is something that you will need in almost every mathematical problem. If you get stuck in exams due to this, you cannot proceed to the next step. Make use of online platforms such as cuemath to get online math solutions and better understanding. You can see videos of problems that seemed very difficult to solve.