Quadratic Equations Roots Visualization

A quadratic equation is in the form:

ax² + bx + c = 0

The discriminant Δ = b² - 4ac determines the nature of the roots:

Δ > 0: Two real and distinct roots.
Δ = 0: One real and repeated root.
Δ < 0: No real roots (complex roots).

This simulation allows you to visualize the effect of the discriminant on the graph of the quadratic equation.

Enter coefficient a (for ax²):

Enter coefficient b (for bx):

Enter coefficient c (for c):

Real-Time Data: Discriminant: 0 Roots: --

chemistry

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Distance Formula in Coordinate Geometry Function Transformations Introduction to Probability Similarity of Triangles Angle Sum Property of Polygons Area vs. Volume Bar Graphs and Pie Charts Complex Numbers – Argand Plane Plotting Construction of Geometric Shapes Construction of Tangents to a Circle Coordinate Geometry Derivatives – Tangent Line Animation Factors and Multiples Fractions on a Number Line integration Integration as Area Under Curve Introduction to Integers Limits and Continuity Linear Equations in One Variable Matrix Operations Simulator Mensuration Real-World Application Operations on Fractions and Decimals Patterns and Sequences Permutation and Combination Counter Prime Numbers and Divisibility Tests Probability Distribution Simulator Probability Simulation Pythagoras Theorem Visualization Quadratic Equations Roots Visualization Solving Pair of Linear Equations (Graphically) Trigonometric Graphs Understanding Angles Vector Addition and Resolution Visualizing Perimeter and Area Visualizing Symmetry

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Visual GCD/LCM using Venn Diagrams Divisibility Rule Checker Factorization Tree Builder Interactive Number Line for Integers & Decimals LCM and HCF Finder with Step-by-Step Euclidean Algorithm Magic Squares Generator and Solver Place Value Explorer (Base-10, Binary, etc.) Prime Number Checker & Visualizer Visual GCD/LCM using Venn Diagrams

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Relations and Functions ( Maths class - 11 )

Key Features of Some Special Functions Cartesian Product of Sets Representation and Identification of Functions Representation and Identification of Relations

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Operations and Venn-Diagram Representation Representation and Classification

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Angles And Their Measures Transformation Formulae Trigonometric Equations Trigonometric Functions Trigonometric Multiples and Submultiples Formulae Trigonometric Sum and Difference Formulae