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Section 8e - Quadratic Equations

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Section 8e - Quadratic Equations. Solving Quadratic Equations. a x 2 + c = 0.

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Section 8e - Quadratic Equations

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  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. Section 8e - Quadratic Equations

  3. Solving Quadratic Equations ax2 + c = 0 isolate the squared term take the square root of both sides consider  solve

  4. Solve for x 1) 2x2+ 1 = 15 • 2 – 3x2 = 8

  5. Solve for x • (x – 3)2 = 16 • (x + 2)2 = 11

  6. Zero Product Rule(a.k.a. Null Factor Law)

  7. Solve for x • 3x(x – 5) = 0 • (x – 4)(3x + 7) = 0

  8. Solving Quadratic Equations ax2 + c = 0 ax2 + bx = 0 isolate the squared term take the square root of both sides consider  solve set equal to zero factor out the GCF use the zero product property solve

  9. Solve for x • x2= 3x • 2x2+ 8x = 0

  10. Solving Quadratic Equations ax2 + c = 0 ax2 + bx = 0 ax2 + bx + c = 0 set equal to zero factor out the GCF, if possible factor use the zero product property solve isolate the squared term take the square root of both sides consider  solve set equal to zero factor out the GCF use the zero product property solve

  11. Solve for x • x2= x + 30 • 3x2= 4x – 1

  12. Solve for x • 12x2 – 5x = 2

  13. Homework • Exercise 8E.1, pg255 #1acegi #2acei • Exercise 8E.2, pg 257 #1acfk • Exercise 8E.3, pg 257 #1ace #2acegj #3acegik #4ac #6aceg

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