# Interactive video lesson plan for: Nature of roots | Discriminant of a quadratic equation | Examples

#### Activity overview:

Nature of roots of a quadratic equation Workout examples
http://www.learncbse.in/ncert-class-10-math-solutions/

00:02 Word problem Q3. Is it possible to design a rectangular mango grove whose length is twice its breadth, and the area is 800 m^2? If so, find its length and breadth.
00:04 From step:1 00:21 From step:2 01:00 From step:3 01:14 From step:4
02:17 Word problems on Quadratic Equation (Problems based on Ages)
02:20 Word problem Q4. Is the following situation possible? If so, determine their present ages.The sum of the ages of two friends is 20 years. Four years ago, the product of their ages in years was 48.

Nature of roots
In the standard form of quadratic equation ax^2 + bx + c = 0, the value D=b^2-4ac is called Discriminant of quadratic equation.Based on Discriminant, we say real roots or not exist for a quadratic equation or not.Group of problems are solved on Nature of roots of quadratic equation.
Nature of roots of quadratic equation.
If Discriminant D greater than 0 then real roots exist.
If Discriminant D less than 0 then no real roots exist.
If Discriminant D=0 then roots are equal.

Reference book for the above video is
National Council of Educational Research and Training (NCERT) Book for Class 10 Subject: Maths
This Video is also refers as CBSE Class 10 mathts NCERT Solutions Chapter 9 Quadratic Equations
This video is suited for CBSE Class 10 maths Quadratic Equations.

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learncbse.in
CBSE solutions for Class 10 maths Quadratic Equations
NCERT solutions for CBSE Class 10 maths Quadratic Equations
completing the square method  word problems
examples of quadratic equations in standard form
determine the nature of the roots of the quadratic equation

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