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

 The correct option is  (A). When the radicand is negative

Step-by-step explanation:  We are given to select the correct option by which we can tell that a quadratic equation has no real solutions.

We know that for the quadratic equation

the radicand is given by

Based on the radicand "D", we have the following rules:

(i) If D > 0 (positive), then the two solutions are real and unequal.

(ii) If D = 0, then the two solutions are equal.

(iii) If D< 0 (negative), then the two solutions are complex (not real).

Thus, when the radicand is negative, then the quadratic equation has no real solutions.

Option (A) is correct.

there are infinitely many solutions.