Question

What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is zero?

No real solutions

Two identical rational solutions

Two different rational solutions

Two irrational solutions

Answer 1

Take a look at the quadratic equation

\[x=(-b \pm \sqrt{b^2-4ac})\div2a\]

If the radicand is equal to 0 then all that is left is

x=−b/2a

So the answer must be two identical rational solution.