Nature of roots of quadratic equation discriminant Quadratic formula
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
00:33 Find the discriminant of quadratic equation.
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.
07:34 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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