4) What is the value of discriminant for the quadratic equation X2 – 2X – 3

= 0?

A) -16. B) 16 C) 8 D

1 thought on “4) What is the value of discriminant for the quadratic equation X2 – 2X – 3 <br /><br />= 0?<br /><br />A) -16. B) 16 C) 8 D”

1. Answer:

   option (B) 16

   Step-by-step explanation:

   Given :

   The quadratic equation : x² – 2x – 3

   To find :

   the value of discriminant

   Solution :

   For the quadratic equation of the form ax² + bx + c, the value of discriminant is given by

   D = b² – 4ac

   For the given Quadratic equation,

   a = 1

   b = –2

   c = –3

   Discriminant, D = (–2)² – 4(1)(–3)

   D = 4 + 12

   D = 16

   Therefore, correct option is (B)

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   #Know more :

   • The nature of roots is based on the value of discriminant.

   D > 0 ; the quadratic equation has real and distinct roots

   D = 0 ; the quadratic equation has real and equal roots

   D < 0 ; the quadratic equation has complex roots

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