Q4 of 168 Page 7

Comment upon the nature of roots of the following equations:
x² + 10x + 39 = 0

d = b² – 4ac

d = (10)² – 4 (1) (39)

d = 100 – 156

d = –56

Since, d < 0, no real roots exists.

Find whether the following quadratic equations have a repeated root :

x² + 6x + 9 = 0

Comment upon the nature of roots of the following equations:

4x² + 7x + 2 = 0

Without solving, determine whether the following equations have real roots or not. If yes, find them:

2x²— 4x + 3 = 0

Without solving, determine whether the following equations have real roots or not. If yes, find them:

Comment upon the nature of roots of the following equations:x2 + 10x + 39 = 0