Question

The discriminant is a quick way to determine the quantity and type of the possible solutions of a quadratic equation. If the discriminant has a value of 28, what can we conclude about the solution(s) to the equation?

Answer 1

The value of the discriminant is 28, indicating that there are two distinct real solutions to the quadratic equation.

Step-by-step explanation:

The discriminant is a value that helps determine the quantity and type of solutions for a quadratic equation. In this case, the discriminant has a value of 28. The discriminant is calculated using the formula: Discriminant = b^2 - 4ac. If the discriminant is positive, it means there are two distinct real solutions. If it is zero, there is one real solution (a repeated root). If it is negative, there are no real solutions. So, with a discriminant of 28, we can conclude that there are two distinct real solutions to the equation.

Answer 2

A positive discriminant means that there are two real solutions.
A negative discriminant means there are two complex solutions.
A discriminant equal to zero means there is one real solution.