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

Question

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

btaylor · Answer

when the radicand is negative. Because you take the square root of the radicand, which would be imaginary if it is less than 0.

mathsolver · Answer

Also, on a futher note, if the radicand is zero, it will have exactly one solution