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
the discriminant value must be negative meaning it hs 2 complex roots
the only negative is -5
A is answer
Answer: Option 'a' is correct.
Step-by-step 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.