Sum of Roots in Quadratic Equation
For a given quadratic equation ax2 + bx + c = 0, the sum of roots can be found with the help of the coefficient of x2, and coefficient of x.
For example, let’s suppose we have a quadratic equation, equal to ax2 + bx + c = 0
Formula for Sum of roots of Quadratic Equation :
Sum of Roots: α + β = -b/a = -Coefficient of x/ Coefficient of x2
Quadratic Equations: Formula, Method and Examples
A Quadratic equation is a second-degree equation that can be represented as ax2 + bx + c = 0. In this equation, x is an unknown variable, a, b, and c are constants, and a is not equal to 0. To solve it, you can use methods such as factoring, completing the square, or the quadratic formula. Each method helps find the values of x that satisfy the equation.
Let’s learn how to solve Quadratic Equations using different methods in detail.
Table of Content
- What is Quadratic Equation?
- Quadratic Equation Standard Form
- Quadratic Equation Examples
- Roots of Quadratic Equation
- Quadratic Equations Formula
- Nature of Roots
- Discriminant
- Sum of Roots in Quadratic Equation
- Product of Roots in Quadratic Equation
- Writing Quadratic Equations using Roots
- How to Solve Quadratic Equation?
- Factorization Method
- Completing Square Method
- Graph Method
- Quadratic Equations Having Common Roots
- Maximum and Minimum Value of Quadratic Equation
- Quadratic Equation Sign Convention
- Solved Examples on Quadratic Equation
- Practice Questions on Quadratic Equation