Question

If the discriminant of a quadratic is zero determine the number of real solutions

Answer 1

2 real and equal solutions

Explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

the discriminant of the quadratic equation is

b² - 4ac

• if b² - 4ac > 0 , the 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square , then 2 real and rational solutions

• if b² - 4ac = 0 , then 2 real and equal solutions

• if b² - 4ac < 0 , then 2 not real solutions