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1310-Notes-Sec-23

# 1310-Notes-Sec-23 - Math 1310 Section 2.3 Quadratic...

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Math 1310 Class Notes – Section 2.3, Page 1 of 6 Math 1310 Section 2.3 Quadratic Equations In this section, you’ll learn three methods for solving quadratic equations. A quadratic equation is an equation of the form 0 2 = + + c bx ax , where 0 a . Equations of this form can have two solutions, one solution or no solutions. Factoring The first method you can use is factoring. This method makes use of the Zero Product Property, that is, if 0 = ab , then either a = 0 or b = 0. The equation must be written in the form 0 2 = + + c bx ax , so you may have to rewrite the equation in this form before you get started. Next you’ll factor the left hand side of the equation. Once in factored form, you’ll use the Zero Product Property to solve the equation. Example 1: Solve for x : 0 14 5 2 = - - x x Example 2: Solve for x : 12 ) 4 ( = - x x

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Math 1310 Class Notes – Section 2.3, Page 2 of 6 Example 3: Solve for x : 0 10 17 3 2 = + - x x Example 4: Solve for x : 0 81 25 2 = - x Sometimes you’ll want to look for a common factor before proceeding as we did on the first four examples.
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