Quadratic Formula Calculator
Enter the coefficients of your quadratic equation (ax² + bx + c = 0) to find its roots.
Calculator Features
Complete Solutions
Find both real and complex roots of any quadratic equation.
Discriminant Analysis
View the discriminant value to understand the nature of roots.
Real-time Calculation
Results update instantly as you modify coefficients.
Special Cases
Handles all cases including linear equations when a = 0.
Tips & Tricks
Understanding the Discriminant
Positive discriminant means two real roots, zero means one real root (repeated), negative means complex roots.
Standard Form
Enter coefficients for the equation ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0 for a quadratic equation.
Complex Numbers
When the discriminant is negative, roots are displayed in the form a ± bi, where i is the imaginary unit.