Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.
A) One real
B) Two complex
C) Two real

Question

Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions. 
A) One real 
B) Two complex 
C) Two real

Quizplus · Accepted Answer

The discriminant of a quadratic equation in the form ax^2 + bx + c = 0 is b^2 - 4ac. If the discriminant is greater than zero, there are two real number solutions. If the discriminant is equal to zero, there is one real number solution. If the discriminant is less than zero, there are two complex number solutions. For this specific problem, the discriminant is (2)^2 - 4(1)(-3) = 16, which is greater than zero. Therefore, there are two real number solutions.

Use the Discriminant to Determine Whether the Quadratic Equation Below