Question

What is true about the solutions of a quadratic equation when the radicand of the quadratic formula is a positive number that is not a perfect square?

a No real solutions
b Two identical rational solutions
c Two different rational solutions
d Two irrational solutions

Answer 1

The number under the radical (the radicand) is also known as the discriminate. You can determine what kind of solutions based on the discriminate. If it is negative, you will have two complex solutions, or roots. If it is zero, you will have one real solution. If it is positive, you will have two real solutions. Based on your choices and given that the radicand, or discriminate, is positive, you have to decide if your solutions are rational or irrational.

Answer 2

So now you have a 50/50 choice, c or d.