Discriminant Formula for Solving a Quadratic Equation
Since a quadratic equation has a degree of 2, therefore it will have two solutions. Therefore there would be two values of the variable x for which the equation is satisfied. According to the discriminant formula, a quadratic equation of the form ax2 + bx + c = 0 has two roots, given by:
,
Where D = b2 − 4ac.
The ± signs indicate two distinct solutions to the equation. If the discriminant comes out to be negative, then the given equation does not have any real roots.
Discriminant Formula in Quadratic Equations
Algebra can be defined as the branch of mathematics which deals with the study, alteration, and analysis of various mathematical symbols. It is the study of unknown quantities, which are often depicted with the help of variables in mathematics. Algebra has a plethora of formulas and identities for the purpose of studying situations involving variables. It also has various sub-branches such as linear algebra, advanced algebra, commutative algebra, etc.
Table of Content
- What are Quadratic Equations?
- Discriminant Formula for Solving a Quadratic Equation
- Derivation of Discriminant Formula
- Sample Questions
- FAQs