Mathematics : Algebra [Appendix] Quadratic Equations - Quadratic Formula

x = [-b ± √(b² − 4ac)] ÷ 2a

Given this quadratic equation, what is the quadratic formula?

neither of the solutions are real numbers

If the discriminant is negative, how many solutions does the quadratic equation have?

two distinct real number solutions

If the discriminant is positive, how many solutions does the quadratic equation have?

one repeated real number solution

If the discriminant is zero, how many solutions does the quadratic equation have?

b² - 4ac

What is the discriminant of the quadratic formula?

quadratic formula

What is the name of this formula?

discriminant

This term refers to the highlighted part of the quadratic formula.