The quadratic formula, x = -b plus/minus radic b sup 2 minus 4ac over 2a -b ± √b² − 4ac 2a can be used to find the solution(s) to any quadratic equation.

Within the formula, the quantity under the radical, (b² – 4ac), called the Interactive popup. Assistance may be required. discriminant, discriminant of a quadratic: the number D = b² − 4ac determined from the coefficients of the equation
ax² + bx + c = 0.
The discriminant reveals the type of roots the equation has and comes from the quadratic formula. reveals the nature of the solution(s) for a particular equation. In this lesson, you will learn how to use the value of the discriminant to determine the number and nature of the solution(s) of any quadratic equation.

How does the value of the discriminant help determine the nature of the solutions to a quadratic equation? The quadratic formula involves the Interactive popup. Assistance may be required. coefficients of the quadratic equation in standard form: coefficient in an equation: the number multiplied times a product of variables or powers of variables in a term of an equation.

ax² + bx + c = 0

Quadratic formula:

x = -b plus/minus radic b sup 2 minus 4ac over 2a -b ± √b² − 4ac 2a