(ii) What is the nature of the roots of the quadratic equation x² – 3x – 4 = 0?
(A)Real
(B) Real and equal
(C) No

2 thoughts on “(ii) What is the nature of the roots of the quadratic equation x² – 3x – 4 = 0?<br />(A)Real<br /> (B) Real and equal<br /> (C) No”

1. Answer:

   (D) Real and unequal

   Explanation:

   The general formula of a quadratic equation is → ax² + bx + c

   For finding the nature of roots of a quadratic equation, we always use the concept of discriminant.

   Use the below mentioned formula:

   D = b² – 4ac

   Where:

   • D is discriminant
   • b is the coefficient of x
   • a is the coefficient of x²
   • c is the constant

   Applying the formula;

   D = b² – 4ac

   ⇒ D = (-3)² – [4 (1) (-4)]

   ⇒ D = 9 – (-16)

   ⇒ D = 9 + 16

   ⇒ D = 25

   So, the given Quadratic equation has roots which are real and distinct.

   Know more:

   • If D > 0, the roots are real and distinct.
   • If D = 0, roots are real and equal.
   • If D < 0, roots are imaginary.

   Reply

2. Answer: What is the nature of the roots of the quadratic equation x² – 3x – 4 =0

   (A)Real

   Thank U

   Reply