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
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Mathematics
2 years
2021-06-24T13:00:17+00:00
2021-06-24T13:00:17+00:00 2 Answers
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Equation :– 4x² – 5x – 3 = 0
☆ Comparing with ax²+bx+c=0
We get
a=4
b=-5
c=-3
Discriminant =b²-4ac
=> (-5)² -4(4)(-3)
=> 25 +48
=> 73 > 0
Therefore
The given equation is 4x² – 5x – 3 = 0.
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We get,
➣ a = 4
➣ b = -5
➣ c = -3
∴ Discriminant = b² – 4ac
➺ (-5)² – 4.4.(-3)
➺ 25 + 48
➺ 73 > 0
❑ Therefore,
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