With this presentation, we want to show the advantage of using the discriminant in quadratic equations to determine the nature of the solutions of the equation.
3. 9.6 Applications of the Discriminant
As it is described on the image, the
discriminant is directly telling us,
what is happening with the
solutions of a quadratic equation.
This is why the discriminant should
be the first analysis in any quadratic
equation.
4. 9.6 Applications of the Discriminant
Exercises: Determine the nature of the solutions in the given quadratic
equations. Remember to identify correctly the coefficients in the
quadratic equation.
𝟏. 𝒙 𝟐 − 𝟑𝒙 − 𝟒 = 𝟎 𝟐. 𝒙 𝟐 − 𝟐𝒙 + 𝟒 = 𝟎