Answer:
> The discriminants <
a) 0
b) 4
c) 65
d) -31
> Nature of roots <
a) real,equal and rational
b) real, distinct and rational
c) real, distinct and irrational
d) imaginary
Step-by-step explanation:
Formula:
Solution:
a) x² - 6x + 9 = 0
- a = 1 b = -6 c = 9
- -6² - 4 (1) (9)
- 36 -36
- 0
b) x² - 4x + 3 = 0
- a = 1 b = -4 c = 3
- -4² - 4 (1) (3)
- 16 - 12
- 4
c) x² - 7x - 4 = 0
- a = 1 b = -7 c = -4
- -7² - 4 (1) (-4)
- 49 + 16
- 65
d) 2x² + 3x + 5 = 0
- a = 2 b = 3 c = 5
- 3² - 4 (2) (5)
- 9 - 40
- -31
