Q4 of 168 Page 7

Comment upon the nature of roots of the following equations:
4x² + 7x + 2 = 0

d = b² – 4ac

d = (7)² – 4 (4) (2)

d = 49 – 32

d = 17

Since, d>0, roots are unique and real.

Find whether the following quadratic equations have a repeated root :

16y²— 40y + 25 = 0

Find whether the following quadratic equations have a repeated root :

x² + 6x + 9 = 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:

2x²— 4x + 3 = 0

Comment upon the nature of roots of the following equations:4x2 + 7x + 2 = 0