1. Quadratic Formula: If ax2 + bx + c = 0, then

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3. Solve by using the Quadratic Formula. or Two real solutions (both rational) Example 5-1a

4. The x-intercept(s) of the graph of f(x) = ax2 + bx + c are also the solution(s) of the equation ax2 + bx + c = 0

5. Solve by using the Quadratic Formula. or Two real solutions (both rational) Example 5-1a

6. Solve by using the Quadratic Formula. or Two real solutions (both rational) Example 5-1a

7. Solve byusingtheQuadraticFormula. = One real solution Example 5-2a

8. Solve by using the Quadratic Formula. The two solutions are the complex numbers and Example 5-4a

9. In the quadratic formula, b2 – 4ac is called the discriminant

10. Find the value of the discriminant for . Then describe the number and type of roots for the equation. Answer: The discriminant is 0, so there is one rational root. Example 5-5a

11. Find the value of the discriminant for . Then describe the number and type of roots for the equation. Answer: The discriminant is negative, so there are two complex roots. Example 5-5a

12. Find the value of the discriminant for . Then describe the number and type of roots for the equation. Answer: The discriminant is 80, which is not a perfect square. Therefore, there aretwo irrational roots. Example 5-5a

13. Find the value of the discriminant for . Then describe the number and type of roots for the equation. Answer: The discriminant is 81, which is a perfect square. Therefore, there are tworational roots. Example 5-5a