Discuss the nature of the roots of the following equations :

☆ 4x² – 5x – 3 = 0​

2 thoughts on “Discuss the nature of the roots of the following equations :<br /><br />☆ 4x² – 5x – 3 = 0​”

1. 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 .

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2. 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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