Quadratic Equation Solver

Solve ax² + bx + c = 0 step by step

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x² +x += 0

x₁

3.000000

x₂

2.000000

D = 1Two distinct real roots

Properties

Vertex

(2.500, -0.250)

Axis of Symmetry

x = 2.500

Sum of Roots

5.0000

Product of Roots

6.0000

Steps

Given: 1x² + -5x + 6 = 0

Discriminant: D = b² - 4ac = -5² - 4(1)(6) = 1

√D = 1.000000

x₁ = (--5 + 1.0000) / (2×1) = 3.000000

x₂ = (--5 - 1.0000) / (2×1) = 2.000000

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Full guide

How to Solve Quadratic Equations Step by Step

Solve ax² + bx + c = 0 with the quadratic formula, discriminant, roots, and vertex form — free step-by-step quadratic solver guide.

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About Quadratic Equation Solver

A comprehensive quadratic equation solver that finds roots of ax² + bx + c = 0 using the quadratic formula. Shows discriminant analysis (two real, one repeated, or complex roots), step-by-step working, vertex form conversion, axis of symmetry, and a visual parabola preview. Handles all cases including complex/imaginary roots. Essential for algebra students, engineers, and anyone solving second-degree polynomial equations.

Quadratic Equation Solver Features

Quadratic formula
Complex roots
Discriminant analysis
Vertex form
Step-by-step

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