Question

A quadratic equation has a discriminant with a value of -9. What type of solution does the quadratic equation have?

Answer 1

A quadratic equation with a discriminant of -9 will have complex solutions, as a negative discriminant indicates the presence of imaginary numbers in the roots.

Step-by-step explanation:

If a quadratic equation has a discriminant with a value of -9, it means that the equation has complex solutions. The discriminant is the part of the quadratic formula b² - 4ac, which gives us information about the nature of the roots of a quadratic equation of the form ax² + bx + c = 0. A negative discriminant indicates that the roots are complex and contain imaginary numbers, rather than real numbers.