Quadratic Equation Calculator

Table of Contents

Quadratic Equation Calculator

Solve quadratic equations instantly and get the roots, discriminant, vertex, and step-by-step solution.

x² + x + = 0

Step-by-Step Solution

Key Facts

Discriminant:

Vertex:

Axis of Symmetry:

Roots:

How to Use the Quadratic Equation Calculator

Enter the values of a, b, and c in the equation ax² + bx + c = 0, then click Solve Equation.

Quadratic Formula

The roots of a quadratic equation can be found using x = (-b ± √(b² − 4ac)) / 2a.

Understanding the Discriminant

The discriminant determines the type of roots. A positive discriminant gives two real roots, zero gives one repeated real root, and a negative discriminant gives two complex roots.

If you are working with diamond problems, try our Diamond Problem Calculator to solve diamond problems quickly and easily.

Ethan Richardson

Ethan Richardson is an Educational Content Editor with more than 10 years of experience reviewing and developing educational materials for young learners. His expertise includes improving worksheet accuracy, readability, and instructional quality while ensuring learning resources meet modern educational standards.

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