Question

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

Answer 1

The nature of the roots of a quadratic equation may be readily determined through the use of its discriminant,
                                         D = sqrt (b² - 4ac)
We can tell if the quadratic equation does not have a real root it the radicand is negative. Therefore, the answer is letter A.