Question

Discuss the nature of the roots of the following equations :

☆ 4x² - 5x - 3 = 0​

Answer 1

The given equation is 4x² - 5x - 3 = 0.

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• 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,

• Hence, the given equation has two distinct real roots.

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Answer 2

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 equation has two distinct roots .