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Chapter 3-2 Notes

# Chapter 3-2 Notes - Page 1 of 2 Math 1332 College...

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Page 1 of 2 Source: College Mathematics , Rockswold G., Bennett J., and Briggs W. C:/CLASES_COLEGIO/2007/NOTAS/0102/ 02/04/07 Math 1332 - College Mathematics Chapter 3-2 Notes Quadratic Equations and Problem Solving We now focus on solving quadratic equations. Recall we learned how to solve for linear equations (section 2-3); we will also solve quadratic equations graphically, numerically, and symbolically. Note Æ a quadratic equation can have zero, one, or two real solutions. Quadratic Equation : A quadratic equation in one variable is an equation that can be written in the form ax 2 + bx + c = 0 , where a , b , and c are real numbers with a 0 . Solving Quadratic Equations 4 basic symbolic strategies: Factoring, Square Root Property, Completing the Square, Quadratic Formula Factoring Æ based on the zero-product property , if ab = 0 , then a = 0 or b = 0 or both. Ex: x 2 - 4 = 0 Square Root Property Æ Let k be a nonnegative number. Then the solutions to the equation x 2 = k are x = ± k Ex: x 2 - 4 = 0 Æ Completing the Square Æ useful when solving quadratic equations that do not factor easily!

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