Nature of roots of quadratic equation discriminant Quadratic formula

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

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.

03:01 Quadratic Formula

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

05:12 Find roots of quadratic equation by Quadratic Formula.

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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