Use the coefficients and the discriminant part of the quadratic formula (b2 − 4ac) to find the value of each discriminant. Then predict the nature and number of solutions for each equation:
- 3x2 – 4x – 2 = 0
- x2 + 2x + 8 - 0
- x2 + 6x + 9 = 0
- x2 – 8x + 7 = 0
- In your notes, describe in your own words the x-intercepts on the graphs of the quadratic equations with the different types of discriminants (D).
- For further practice, go to: The Discriminant in Quadratic Equations . Scroll down the page just past Example 1 to the practice problems.