Answer: 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.