What are Quadratic Equations?
The degree of a polynomial is the highest power of the variable in it. A quadratic equation can be defined as a polynomial equation that has a degree of 2.
ax2 + bx + c = 0
Where a and b are the coefficients, x is the unknown variable and c is the constant, and a ≠ 0.
What is Discriminant?
The discriminant is a value derived from the coefficients of a quadratic equation in the form ax2 + bx + c = 0. It helps determine the nature of the roots (solutions) of the quadratic equation. The discriminant is denoted by the symbol D.
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