In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation. Learn how to analyze the discriminant of a quadratic equation to determine the number and type of solutions.Learn how to analyze the discriminant of a quadratic equation to determine the number and type of solutions. This includes an explanation of factoring, completing the square, the quadratic formula, and references to graphical approaches and analysis. The discriminant in math is defined for polynomials and it is a function of coefficients of polynomials. Quadratic formula is used to find the solutions to quadratic equations. Defined as one who is scheduled to work sixty-four (64) hours or less in a standard work period of fourteen (14) days. Unlawful discrimination, retaliation, and harassment (including sexual harassment) in employment is not tolerated. B2 = 9 and 4ac = 20.