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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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