Q5 of 168 Page 7

Without solving, determine whether the following equations have real roots or not. If yes, find them:
2x²— 4x + 3 = 0

d = b² – 4ac

d = (–4)² – 4 (2) (3)

d = 16 – 24

d = –8

Since, d < 0, no real roots exist for the given equation.

Comment upon the nature of roots of the following equations:

4x² + 7x + 2 = 0

Comment upon the nature of roots of the following equations:

x² + 10x + 39 = 0

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

Without finding the roots, comment upon the nature of roots of each of the following quadratic equations:

2x²— 6x + 3 = 0

Without solving, determine whether the following equations have real roots or not. If yes, find them:2x2— 4x + 3 = 0