Question

a quadratic equation has zero real number solutions. which could be the discriminant value associated with this equation? a. –5 b. 0 c. 1 d. 6

Answer 1

the discriminant value must be negative meaning it hs 2 complex roots

the only negative is -5
A is answer

Answer 2

Answer: Option 'a' is correct.

Explanation:

As we know about the discriminant value i.e.

if we have given a quadratic equation :

`ax^2+bx+c=0`

then,

discriminant value will be

`b^2-4ac`

There are 3 properties regarding discriminant value as follows:

`1)b^2-4ac>0\\\\means,\\\\\text{ there exists real zeros}\\\\2)b^2-4ac=0\\\\means,\\\\\text{ there exists equal zeroes}\\\\3)b^2-4ac<0\\\\means,\\\\\text{ there does not exists real zeroes}`

So, here we need a zero real number solutions i.e. there does not exists any real number.

So,

`b^2-4ac=-5`

Hence, Option'a' is correct.