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## Section 8e - Quadratic Equations

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**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**Solving Quadratic Equations**ax2 + c = 0 isolate the squared term take the square root of both sides consider solve**Solve for x**1) 2x2+ 1 = 15 • 2 – 3x2 = 8**Solve for x**• (x – 3)2 = 16 • (x + 2)2 = 11**Solve for x**• 3x(x – 5) = 0 • (x – 4)(3x + 7) = 0**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**Solve for x**• x2= 3x • 2x2+ 8x = 0**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**Solve for x**• x2= x + 30 • 3x2= 4x – 1**Solve for x**• 12x2 – 5x = 2**Homework**• Exercise 8E.1, pg255 #1acegi #2acei • Exercise 8E.2, pg 257 #1acfk • Exercise 8E.3, pg 257 #1ace #2acegj #3acegik #4ac #6aceg