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 |