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7.3  Quadratic Techniques to Solve Polynomial Equations
Objectives ,[object Object],[object Object]
Intro ,[object Object]
Definition of Quadratic Form ,[object Object],[object Object]
[object Object]
Ex. 1:  Solve x 4  – 13x 2  + 36 = 0 The solutions or roots are -3, 3, -2, and 2.
The graph of  x 4  – 13x 2  + 36 = 0 looks like: The graph of y = x 4  – 13x 2  + 36 crosses the x-axis 4 times.  There will be 4 real solutions.
[object Object]
Ex. 2:  Solve
Ex. 3:  Solve
Ex. 4:  Solve
Ex. 4:  Solve  There is no real number x such that  is = -1.  The only solution would be 64.
[object Object]
Ex. 5:  Solve
Thank you Mrs. Spitz for the wonderful ppt.
Reminder ,[object Object],[object Object],[object Object]

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7.3 quadratic techniques

  • 1. 7.3 Quadratic Techniques to Solve Polynomial Equations
  • 2.
  • 3.
  • 4.
  • 5.
  • 6. Ex. 1: Solve x 4 – 13x 2 + 36 = 0 The solutions or roots are -3, 3, -2, and 2.
  • 7. The graph of x 4 – 13x 2 + 36 = 0 looks like: The graph of y = x 4 – 13x 2 + 36 crosses the x-axis 4 times. There will be 4 real solutions.
  • 8.
  • 9. Ex. 2: Solve
  • 10. Ex. 3: Solve
  • 11. Ex. 4: Solve
  • 12. Ex. 4: Solve There is no real number x such that is = -1. The only solution would be 64.
  • 13.
  • 14. Ex. 5: Solve
  • 15. Thank you Mrs. Spitz for the wonderful ppt.
  • 16.