Quadratic Equations – Complex Roots Lab

For \( ax^2 + bx + c = 0 \):

Discriminant \( D = b^2 - 4ac \)
If \( D < 0 \), roots are complex conjugates: \[ x = \frac{-b}{2a} \pm i\,\frac{\sqrt{|D|}}{2a} \]
These lie symmetrically around the real axis on the Argand plane.

Enter Coefficients

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chemistry

Complex Numbers and Quadratic Equations (Maths Class-11)

Identification of Complex Numbers Graphical and Polar Form Representation Operations with Complex Numbers Quadratic Equations with Non-Real Roots

maths

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

Maths (Problems)

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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Physics ( problems )

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

sets ( Maths Class-11 )

Operations and Venn-Diagram Representation Representation and Classification

Trigonometric Functions ( Maths class - 11 )

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