Question

The discriminant of the quadratic equation 2x² + x - 10 = 0 is --
(A) 1
(B)
-81
(C)
81
(D) 3​

Answer 1

Answer:

Option (C) 81

Step-by-step explanation:

The given quadratic equation is 2x² + x – 10 = 0

It is of the form ax² + bx + c = 0. So,

• a = 2
• b = 1
• c = –10

The value of discriminant can be found by

D = b² – 4ac

Substituting the values,

D = (1)² – 4(2)(–10)

D = 1 + 80

D = 81

Therefore, the discriminant of the given quadratic equation is 81.

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Know more :

The value of the discriminant determines the nature of the roots.

If

• D > 0, the roots are real
• D = 0, the roots are real and equal.
• D < 0, the roots are not real i.e., complex roots