Interpret the Discriminant Section 10 7 12222021 9
- Slides: 10
Interpret the Discriminant Section 10. 7 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant 1
Discriminant A. Standard form equation, ax 2 + bx + c = 0 B. Discriminant is from standard form, the expression, b 2– 4 ac indicates how many real number solutions the equation has C. To Determine Solutions: 1. POSITIVE – 2 Real Solutions 2. ZERO – 1 Solution, Double Root 3. NEGATIVE – 0 Real Solutions 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant 2
Example 1 Determine the amount of solutions for this equation and the discriminant of x 2 – 4 x + 3 = 0 Identify A, B, C first A 1 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant B – 4 C 3 3
Example 2 Determine the amount of solutions for this equation and the discriminant of x 2 – 7 = 0 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant 4
Example 3 Determine the amount of solutions for this equation and the discriminant of 3 x 2 – 7 = 2 x 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant 5
Your Turn Determine the amount of solutions for this equation and the discriminant of 5 x 2 – 7 x = 2 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant 6
Example 4 Determine the amount of solutions for this equation and the discriminant of 2 x 2 + 6 x + 5 = 0 Identify A, B, C first A 2 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant B 6 C 5 7
Example 5 Determine the amount of solutions for this equation and the discriminant of 4 x 2 – 12 x + 9 = 0 Identify A, B, C first A 4 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant B – 12 C 9 8
Your Turn Determine the amount of solutions for this equation and the discriminant of – 2 x 2 – 5 x – 6 = 0 12/22/2021 9: 10 PM Discriminant: – 23, 0 Solutions 10. 7 - Interpret the Discriminant 9
Assignment Worksheet 12/22/2021 9: 10 PM 10. 7 - Interpret the Discriminant 10