How can you tell when a quadratic equation has no real solutions?

when the radicand is negative

when b in the quadratic formula is greater than the radicand

when the radicand equals zero

when the radicand is not a perfect square

Question

How can you tell when a quadratic equation has no real solutions?

 when the radicand is negative

 when b in the quadratic formula is greater than the radicand

 when the radicand equals zero

 when the radicand is not a perfect square

nurali · Answer

When the radicand is negative then you know the equation has no real solutions. This is because you CAN'T find the square root of a negative number. If the radicand is a perfect square it will have 2 rational solutions (rational because they terminate) If it is NOT a perfect square it will have 2 irrational solutions(irrational because they do NOT terminate) Lastly, if the radicand is zero, then ther is only one solution...zero.
I hope this is helpful!