Chapter 4: Quadratic Equations

Example 5. Find the value of p for which the quadratic equation 2x2 + 3x + p = 0 has real roots.

Solution:- 2x2 + 3x + p = 0

a = 2, b = 3, c = p

D = b2 - 4ac = 32 - 4 X 2 X P

= 9 - 8p

For real roots,

or,

or,

or,

 

Subjects Maths (Part-1) by Mr. M. P. Keshari
Chapter 1 Linear Equations in Two Variables
Chapter 2 HCF and LCM
Chapter 3 Rational Expression
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Instalments
Chapter 7 Income Tax
Chapter 8 Similar Triangles