Formula quadratic equation roots. Discriminant Lesson

Formula quadratic equation roots. Discriminant

Lesson Goals: Mental development of students; Development of cognitive and creative activity; Development of a culture of collective brainwork.

Quadratic equation is called the equation of the form

Formula discriminant

About the roots of a quadratic equation can be judged by the sign of the discriminant equation has two imaginary roots (for unadvanced users — has roots)

In general, the roots of the equation equal to:

Obviously, in the case of zero discriminant both roots are

Vieta theorem. Given quadratic equation is called the equation of the form: that is, a quadratic equation with a single coefficient of the leading term.

Examples of solutions =25 ,

Task