1. Warm up… answer the following questions without using your notes or book. I will collect them to look at them. We will then go over them 1.What is the quadratic formula? 2.When is the formula used? 3.Find the roots of x 2 + 11x + 24 = 0

2. Solving Quadratic Equations

3. Solve Quadratic Equations With The Quadratic Formula So far we have solved quadratic equations with FACTORING (Solves Equations with Integer Solutions) & GRAPHING THE QUADRATIC FORMULA ALSO SOLVES ALL QUADRATIC EQUATIONS

4. QUADRATIC EQUATION

5. - b 2 a + 2 X=

6. Solve with Quadratic Equation

7. 1.Put Equation into Std. Form (ax 2 +bx+c=0) a=1bc

8. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. a=1bc

9. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. 3.Simplify Radical a=1bc

10. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. 3.Simplify Radical 4.Solve for x a=1bc

11. Solve with Quadratic Equation

12. 1.Put Equation into Std. Form (ax 2 +bx+c=0) a=1bc

13. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. a=1bc

14. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. 3.Simplify Radical a=1bc

15. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. 3.Simplify Radical 4.Solve for x a=1bc

16. Solve by quadratic equation

17. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. 3.Simplify Radical 4.Solve for x a=1bc

18. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. 3.Simplify Radical 4.Solve for x a=1bc

19. Solve with Quadratic Equation 1.Put Equation into Std. Form (ax 2 +bx+c=0) 2.Plug a, b & c into the Quad. Eq. 3.Simplify Radical 4.Solve for x abc

20. The Discriminant The Discriminant equals b 2 -4ac The Discriminant is what’s under the RADICAL

21. The Discriminant The Discriminant equals b 2 -4ac 2 Solutions if positive 1 Solution if 0 0 Solutions if negative

22. The Discriminant tells you how many solutions or roots x This quadratic has two roots so the Discriminant must be positive y

23. The Discriminant tells you how many solutions or roots This quadratic has one roots so the Discriminant must be zero X

24. The Discriminant tells you how many solutions or roots This quadratic has no roots so the Discriminant must be negative X

25. Find The Number of Solutions (Roots) 1.Identify a, b & c. 2.Put values into the discriminant b 2 -4ac 3.If Pos. 2 Solutions If Zero 1 Solution If Neg. 0 Solutions The discriminant is neg. so there are no solutions

26. Determine The Number of Solutions or Roots

28. Singing the Quadratic Equation (To the melody of Pop Goes The Weasel) Minus B plus or minus the square root B squared minus 4AC All over 2A, That’s the quadratic equation. It’s the greatest equation of all time. It even has a wonderful rhyme. If you don’t know it, It would be a crime That’s the quadratic equation. Math is the most taught subject in the world So you’d better believe me Bone up to pass the SAT You won’t end up a weasel.