![discriminant of a quadratic equation discriminant of a quadratic equation](https://image.slidesharecdn.com/quadraticeqanddiscriminant-131202080331-phpapp01/95/slide-21-1024.jpg)
This information is helpful because it serves as a double check when solving quadratic equations by any of the four methods (factoring, completing the square, using square roots, and using the quadratic formula). A polynomial equation of degree \(2\), is called a quadratic equation.Ī quadratic equation in the variable \(x\) is an equation of the form \(a + bx + c = 0\), where \(a,b,c\) are real numbers, \(a \ne 0\). The quadratic equation discriminant is important because it tells us the number and type of solutions. Quadratic is a type of problem which deals with a variable multiplied by itself- an operation also known as squaring. The discriminant for any quadratic equation of the form y ax 2 + bx + c is found by the following formula and it provides critical information regarding the nature of the roots/solutions of any quadratic equation.