Question

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

= 0?

A) -16. B) 16 C) 8 D) 4​

Answer 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