Different Forms of Quadratic Equation with Examples

Explore all the different forms of quadratic equation and become well versed in solving this meaningful equation. Here in the article, we are going to make our discussion on all the different types of quadratic equations.

A quadratic equation in simple terms is the equation that belongs to the Algebra branch of mathematics. The equation is very useful in all the practical aspects of our day-to-day life. For instance, you can use it to calculate the area of the room, profit, speed, etc.

Forms of Quadratic Equation

Well, quadratic equation basically has three different forms and the solution of these forms also vary. The three forms of the quadratic equation include the standard form, vertex form, and the intercept form at last. You have to study each form separately while studying the quadratic equation chapter in your academics.

Moreover, we are here defining the basic understanding of the equation for your reference.

1. Standard Quadratic Equation

This is the very first and probably the foremost form of the quadratic equation. You will find the standard form of the quadratic equation at the very beginning of the chapter. It’s because the standard form of the quadratic equation prepares the fundamental ground of the equation.

The standard form of the equation has the form ax^2+bx+c=0. It has the one unknown value which is x and the a,b,c coefficients which have their own known value. The coefficient helps in the equation to figure out the value of x and we find the roots of the equation. You can solve the standard quadratic equation with the basic formula (-b±√(b²-4ac))/(2a)

2. Vertex Quadratic Equation

This is the other form of a quadratic equation that we reckon is the vertex quadratic equation. This form mainly comprises the graphical representation and the solution of the quadratic equation.

The typical vertex form of the quadratic equation looks like
y=a(x−h)2+k. Here h,k is the vertex of the equation and a is the common coefficient just like the standard quadratic equation. So, here you basically have to solve the equation by plotting it on the graph.

3. Intercept form of Quadratic Equation

The intercept form of the quadratic equation is the last form of the equation. This particular form of a quadratic equation is basically the blend of the standard and vertex forms of the quadratic equations. Here you basically have to find the factors of the equation and then you have to plot those factors in graphical form. You can convert the intercept form of the quadratic equation to the standard form of the quadratic equation. So, subsequently, you can solve the intercept equation by using the standard quadratic equation formula.

So, these are all the available types of the quadratic equation that we have covered up in the article above. All these types have their own significance in getting the solution of the quadratic equation. We urge our scholar readers to get a decent command over all types of quadratic equations. They can also share the article with other fellow scholars to help them as well in learning all the types of quadratic equations.