Write the discriminant of the following quadratic equations:

$2 x 2 − 5 x + 3 = 0$

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answer is A.

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Detailed Solution

Given,

2 x 2 − 5 x + 3 = 0

Calculate the discriminant by using the following formula:
D

= b 2 − 4 a c [

where a, b, c are the coefficients of the quadratic equation and

a ≠ 0]

Therefore, from (1) a = 2 b = − 5 c = 3

Substitute the following values of a, b and c to calculate the discriminant for (1) Therefore,

D = b 2 − 4 a c ⇒ D = (− 5) 2 − (4 × 2 × 3) ⇒ D = 25 − 24 ⇒ D = 1

Thus, it can be clearly concluded that the discriminant of the given quadratic equation is 1.
So, the correct option is 1.

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