Nature of roots of quadratic equations | Discriminant of Quadratic Equation

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http://www.learncbse.in/rd-sharma-class-10-solutions-chapter-08-quadratic-equations/

Nature of roots of quadratic equations

00:02 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

00:14 (i)

00:31 Discriminant of Quadratic Equation

00:58 Discriminant less than zero.No real roots exits.

01:27 (ii)

01:55 Detemine discriminant of Quadratic Equation

02:50 Apply quadratic formula

04:02 (iii) Nature of roots of quadratic equations Discriminant based practise question.

Standard form of quadratic equation

First combine all the like terms in the quadratic equation.

Secondly, degree of each term must drop from left to right starting from 2.

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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Algebra Quadratic equation

CBSE solutions for Class 10 maths Quadratic Equations

CBSE Class 10 maths chapter 10 Quadratic Equations

CBSE Class 10 maths NCERT Solutions chapter 10 Quadratic Equations

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