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Unformatted text preview: 17) 5 2 =x 18) 7 5 1=a 2 19) 4 7 2=x 20) 1 2 1 2=x 21) 2 13 4 + = + x x A Quadratic Equation is any equation that can be written in the form 2 = + + c bx ax . You have already learned one way to solve a quadratic equation, using factoring as in the following example. 2 2 1 3 3 2 5 3 5 2 (3 1)( 2) 3 1 0 or 2 3 1 2 x x x x x x x x x x x = = += + = = = = = 3 You will now learn another way to solve a quadratic equation. In lesson 40, you will learn a third way to solve quadratic equations. Using the Principle of Square Roots Principle of Square Roots: For any real number k , if k x k x k x= = = or then 2 . Use the principle of square roots to solve these two quadratic equations. 1) 9 2 = x 2) 2 3 2 =y The principle of square roots can be generalized. Q = a quantity If 2 then Q or Q Q k k k = = = 3) 36 ) 3 ( 2 = + x 4) 12 ) 2 ( 2 = + n 5) If 2 ) 1 2 ( ) (= x x f , find any values of x such that 11 ) ( = x f ....
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 Spring '09
 Equations, Square Roots, Quadratic equation

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