Real Numbers

12 Topics | 4 Quizzes
Polynomials

13 Topics | 4 Quizzes
Pair of Linear Equations in Two Variables

4 Topics | 4 Quizzes
Quadratic Equations

7 Topics | 4 Quizzes
Arithmetic Progressions

5 Topics | 4 Quizzes
Triangles

8 Topics | 4 Quizzes
Coordinate Geometry

9 Topics | 4 Quizzes
Introduction to Trigonometry

7 Topics | 4 Quizzes
Some Applications of Trigonometry

5 Topics | 2 Quizzes
Circles

5 Topics | 2 Quizzes
Constructions

3 Topics | 2 Quizzes
Areas Related to Circles

5 Topics | 3 Quizzes
Surface Areas and Volumes

4 Topics | 2 Quizzes
Statistics

8 Topics | 2 Quizzes
Probability

4 Topics | 1 Quiz
From the quadratic formula, we can see that the two roots of the Quadratic Equation are –

[mathtype] And [mathtype]

Or [mathtype]

Where [mathtype]

The nature of the roots of the equation depends upon the value of D, so it is called the **discriminant.**

Based on the value of the discriminant,[mathtype] , the roots of a quadratic equation can be of three types.

Case 1: If **D>0**, the equation has two** distinct real roots**.

Case 2: If **D=0**, the equation has two **equal real roots**.

Case 3: If **D<0**, the equation has **no real roots**.

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