How to Quadratic Equations

For a quadratic function, f(x) we can form it into any quadratic equation by equating it to any quadratic, linear of constant function i.e., f(x) = g(x) is a quadratic equation if g(x) is a function with at most degree 2. To solve such an equation, we have various methods such as:

• Factorization Method
• Completing Square Method
• Quadratic Formula Method

Learn the details of the solution by reading

• Quadratic equations

Real and Complex Solutions

In quadratic equation ax² + bx + c where, a ≠ 0, the discriminant of the equation is given by:

Discriminant (D) = b² – 4ac

The nature of the roots depends on the discriminant of the quadratic equation.

• If D > 0 then, the roots are real and distinct.
• If D = 0 then, the roots are real and equal.
• If D < 0 then, there are no real roots of the given equation or only complex or imaginary roots exist.

A quadratic function is a type of polynomial function where the highest exponent of the variable is 2. It generally has the form: f(x)= ax²+bx+c where a, b and c are constants with a≠0 and x is a variable and c is a constant.

Quadratic Functions are the type of polynomial function that has degree 2 and is a very important function as it is used in various fields of mathematical studies and also has real-life applications as well.

As quadratic function is similar to parabola or we can say quadratic function are the most general parabola, thus it can be used in all the fields where parabolas and their parabolic properties can be used.

Let’s learn about Quadratic Function formula, equation, graph and it’s example below.