Tools / Quadratic Equation Solver

Quadratic Equation Solver

Solve quadratic equations (ax² + bx + c = 0). Find real and complex roots, discriminant, vertex, and see the formula breakdown.

7,200 AI Tokens Used
Feb 2, 2026 Created
mathcalculator
Categories
Solving:x² - 4 = 0
x²+x+=0
Examples:

Solutions

x₁ =2
x₂ =-2
Discriminant (b² - 4ac)16> 0: Two real roots
Vertex(0, -4)Minimum point

Quadratic Formula

x = (-b ± √(b² - 4ac)) / 2a

The discriminant (b² - 4ac) determines the nature of the roots: positive = 2 real roots, zero = 1 real root, negative = 2 complex roots.

How This Tool Was Built

This tool was created entirely by AI. Here's the exact prompt used to generate it:

Prompt Used 
Create a Quadratic Equation Solver tool with these features:

1. Input fields for coefficients a, b, c
2. Live equation display showing the formatted equation
3. Example equations to try
4. Results showing x₁ and x₂ solutions
5. Handle complex roots with imaginary numbers
6. Show discriminant value and what it means
7. Display vertex coordinates
8. Quadratic formula reference section

Make it educational with blue as the accent color.
AI
Claude AI Model
#
7,200 Tokens Used
100%
AI-Generated Code Origin