# Interactive video lesson plan for: Nature of roots of quadratic equation | Discriminant | Quadratic formula

#### Activity overview:

http://www.learncbse.in/ncert-class-10-math-solutions/

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.
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.

00:02 CBSE solutions for Class 10 maths Quadratic Equations Q1. Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:i. 2 x^2– 3 x + 5 = 0 ii. 3 x^2 – 4 3 x + 4 = 0 iii. 2 x^2 – 6x + 3 = 0
00:12 i.
00:33 Find the discriminant of quadratic equation.
01:25 ii.
01:57 discriminant
02:34 Nature of roots based on the discriminant of quadratic equation.
03:56 CBSE solutions for Class 10 maths Quadratic Equations iii.
04:24 Find discriminant
04:59 Nature of roots based on the discriminant of quadratic equation.D greater than 0
06:41 Q2. Find the values of k for each of the following quadratic equations, so that they have two equal roots.i 2 x^2+ kx + 3 = 0 ii.
07:09 iv
07:34 When roots are equal, descriminant of quadratic equation is zero.
08:22 CBSE solutions for Class 10 maths Quadratic Equations ii

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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CBSE solutions for Class 10 maths Quadratic Equations
CBSE Class 10 maths chapter 10 Quadratic Equations
examples of quadratic equations in standard form
determine the nature of the roots of the quadratic equation

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