##
Discuss the nature of the roots of the following equations :

☆ 4x² – 5x – 3 = 0

Question

Discuss the nature of the roots of the following equations :

☆ 4x² – 5x – 3 = 0

in progress
0

Mathematics
2 years
2021-06-24T13:00:17+00:00
2021-06-24T13:00:17+00:00 2 Answers
0 views
0
## Answers ( )

Equation:–4x² – 5x – 3 = 0☆ Comparing with ax²+bx+c=0

Wegeta=4

b=-5

c=-3

Discriminant=b²-4ac=>=>=>73>0ThereforeThe given equation is4x² – 5x – 3 = 0.━━━━━━━━━━━━━━━━━

Comparing with ax² + bx + c = 0We get,➣ a = 4

➣ b = -5

➣ c = -3

∴ Discriminant = b² – 4ac➺ (-5)² – 4.4.(-3)

➺ 25 + 48

➺ 73 > 0

## ❑ Therefore,

Hence, the given equation has.twodistinctreal roots━━━━━━━━━━━━━━━━━