Quadratic Equation Calculator
Struggling with a quadratic equation? Our calculator instantly finds the roots, calculates the discriminant, tells you whether the roots are real or complex, and breaks down the parabola's key properties — perfect for students and quick problem-solving.
This calculator is useful in several situations, including Algebra, Mathematics Education, Engineering, Physics, Competitive Exams, Graph Analysis, Research, and Polynomial Equations. In each case, it applies the correct formula automatically so you get a precise result without manual calculation.
Quadratic Equation Calculator
Solve equations of the form ax² + bx + c = 0, find roots, discriminant, and vertex instantly.
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How the Quadratic Equation Calculator Works
Follow these simple steps to get accurate results instantly.
Enter Coefficients
Enter values for a, b, and c.
Calculate Discriminant
The calculator finds b² - 4ac.
Find Roots
Roots are calculated using the quadratic formula.
View Results
See roots, discriminant, and root type.
Quadratic Formula
x = (-b ± √(b² - 4ac)) / 2a
A quadratic equation is written as ax² + bx + c = 0. The quadratic formula calculates the roots of the equation using the coefficients a, b, and c.
Example Calculation
Input: a=1, b=-5, c=6
Output: Roots = 2 and 3
Common Uses
- • Algebra
- • Mathematics Education
- • Engineering
- • Physics
- • Competitive Exams
- • Graph Analysis
- • Research
- • Polynomial Equations
Frequently Asked Questions
Find answers to common questions about this calculator.