What is Quadratic Formula?
For equation, f(x) = ax2+ bx + c where a is not equal to 0 and a, b, and c are real numbers; solution of f(x) = 0 is given by Quadratic Formula i.e.,
[Tex]\bold{x = \frac{{-b \pm \sqrt{{b^2 – 4ac}}}}{{2a}}}[/Tex]
The term under the square root i.e., b2 – 4ac, is called the discriminant, which determines the nature of the roots:
- discriminant > 0, the equation has two real and distinct roots.
- discriminant = 0, the equation has exactly one real root (a repeated root).
- discriminant < 0, the equation has two complex (or imaginary) roots.
Quadratic Formula
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.
Table of Content
- What is a Quadratic Function?
- What is Quadratic Formula?
- Derivation of Quadratic Formula
- Roots of Quadratic Equation by Quadratic Formula
- What is Quadratic Formula used for?