1. Review: Simplify

2. Review
Solve the equation 5) 6) 7)

3. Chapter 8 section 2
The Quadratic Formula

4. Quadratic Equation
Standard form: ax2 + bx + c = 0 with
a ≠ 0

5. Determine the ‘a’, ‘b’, ‘c’
1) 2x2 – 6x + 7 = 0 2) 3) 4)

6. Quadratic Formula
Solution of a quadratic equation in standard form ax2 + bx + c = 0 with
a ≠ 0
x =

7. Use the quadratic formula and solve
5) 6) 7)

8. The Discriminant b2 – 4ac Greater than zero: Two unequal real solution
Equal to zero: One solution
Less than zero: Two imaginary solutions.

9. Determine the number and type of solutions.
7) 8)

10. Ways to Solve Quadratic Equations
Factor and use the zero-product property: ax2 + bx + c = 0
Solve for x2 and use the square root property: ax2 + c = 0
Use the square root property: x2 = c
Use the quadratic formula: ax2 + bx + c = 0

11. Solve
3x2 +5x – 2 = 0
4x2 – 7 = 0
(x + 4)2 = 5
x2 – 2x – 6 = 0

12. Writing Quadratic Equations
If solutions are -5 and 5, what is the equation? Solutions are: x = 5 and x = - 5 x – 5 = 0 or x = - 5 (x – 5)(x + 5) = 0

13. Write the quadratic equation in standard form
9) 10)

14. Summary Quadratic Formula Discriminant
Ways to Solve Quadratic Equations
Equation from Solutions