Question

How many real solutions does a quadratic equation have if its discriminant is zero?

Answer 1

Option B is correct, i.e. 1.

Explanation:

The Discriminant of quadratic equation is given as follows:-

D = b² -4ac

When D is ZERO and the quadratic formula is simplified as follows:-

x = ( -b ± √(b² -4ac) )/2a

x = ( -b ± √D )/2a

x = ( -b ± √(0) )/2a

x = ( -b ± 0 )/2a

x = -b/2a

So x has one real root with multiplicity 2.

Hence, option B is correct, i.e. 1.