What is a Quadratic Function?

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

The standard form of the quadratic equation is f(x) = ax² + bx + c, this says that at least one term in the given equation is squared. In the above equation a, b, and c are constant terms and x is a variable. 

f(x) = ax²+ bx + c

Where a is not equal to 0 and a, b, and c are real numbers.

Some examples of quadratic expressions are:

• 4x² + 3x + 5
• 6x² + x + 7
• 7x² + 5x

Note: Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2.

Methods to Solve Quadratic Equations

A quadratic equation is solved to find the two values of x which satisfies the equation these values are also called the two roots of the quadratic equation.

There are various methods to find the roots of a quadratic equation. The important methods are:

• Quadratic Formula Method
• Factorization Method
• Completing the Square Method
• Graphical Method

In this article, we will only study the Quadratic (Shreedhara Acharya’s) Formula method.

Read More,

• Quadratic Equation
• Standard Form of Quadratic Equation

Quadratic Formula is used to find the roots (solutions) of any quadratic equation. Using the Quadratic formula real and imaginary all the types of roots of the quadratic equations are found.

The quadratic formula was formulated by a famous Indian mathematician Shreedhara Acharya, hence it is also called Shreedhara Acharya’s Formula. It is used to find the solution of the quadratic equation of the form ax² + bx + c = 0. So, let’s start learning about the concept of Quadratic Formula.