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M 1310 2.3 and 2.4 lesson-3 1 Lecture three Online Math 1310 Section 2.3 and 2.4 HW-5 date 9/20/12 (HW 3 and HW 4 due 9/20/12) Quiz 3 due 9/28/12 Quiz 4 due 10/5/12 Popper-3 EMCF Quadratic Equations have the form 0 2 c bx ax , where 0 a . Methods for solving quadratic equations: factoring taking square roots completing the square using the quadratic formula Solve by factoring: 1. Move everything to one side of the equation and be sure to make the x 2 term is positive. It will have the form 0 2 c bx ax 2. Factor the left-hand side of the equation. 3. Set each factor equal to zero. 4. Solve each of the resulting equations. Produced with a Trial Version of PDF Annotator -
M 1310 2.3 and 2.4 lesson-3 2 Example : Solve the equation: 4 3 2 x x Example : Solve the equation: 60 3 3 2 x x Produced with a Trial Version of PDF Annotator -
M 1310 2.3 and 2.4 lesson-3 3 Example : Solve the equation: 0 2 5 3 2 x x Popper :1 Solve the equation 0 8 10 3 2 x x Produced with a Trial Version of PDF Annotator -
M 1310 2.3 and 2.4 lesson-3 4 Square Root Method Equation has the form of 0 2 b ax , where a and b have to be perfect Example : Solve the equation: 0 25 2 x Example : Solve the equation: 0 25 16 2 x Produced with a Trial Version of PDF Annotator -
M 1310 2.3 and 2.4 lesson-3 5 Popper-2 Solve the equation: 0 100 2 x Solving by Completing the Square 1. Write the equation in the form c bx x 2 .
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