Summary of Conic Sections and Solving Simultaneous Second Degree Equations - PowerPoint PPT Presentation

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Summary of Conic Sections and Solving Simultaneous Second Degree Equations

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Summary of Conic Sections and Solving Simultaneous. Second ... if A = C 0. Ellipse if A C, AC 0. Hyperbola if AC 0. Identify the type of conic section. 2x2 ... – PowerPoint PPT presentation

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Title: Summary of Conic Sections and Solving Simultaneous Second Degree Equations


1
Summary of Conic Sections and Solving
Simultaneous Second- Degree Equations
  • Section 7.4

2
Equations of Conic Sections
  • Ax2 Bxy Cy2 DxEy F 0
  • Parabola if A or C 0 but not both
  • (one squared term)
  • Circle if A C ? 0
  • Ellipse if A ? C, AC gt 0
  • Hyperbola if AC lt 0

3
Identify the type of conic section
  • 2x2 8x 2y2 20y 12
  • 3x 4y2 8y 0
  • 4x2 8x 9y2 54y -84
  • 4x2- 8x y2 6y 6

4
Solve the systems of equation by graphing
  • x2y2 25
  • 2x - y 5

5
Solve the system algebraically
  • x2y2 16
  • 2x y 4

6
Solve the system algebraically
  • x23y2 13
  • x y2 - 1
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