YOU TRY 2 ? ? Recall that you must check the proposed solutions in the original equation. Check r 16: Check r 9: r 1r 12 r 1r 12 16 116 12 9 19 16 4 12 False 9 3 12 True 16 is an extraneous solution. The solution set is {9}. Solve y 31y 10. 12 2 Solve an Equation in Quadratic Form by Factoring Some equations that are not quadratic can be solved using the same methods that can be used to solve quadratic equations. These are called equations in quadratic form. Some examples of equations in quadratic form are: x4 10x2 9 0, t2/3 t1/3 6 0, 2n4 5n2 1 Let’s compare the equations above to quadratic equations to understand why they are said to be in quadratic form. Note COMPARE An Equation in Quadratic Form to A Quadratic Equation This exponent is twice this exponent. This exponent is twice this exponent. R b R b x4 10x2 9 0 x2 10x1 9 0 This exponent is twice this exponent. This exponent is twice this exponent. R b R b t 23 t 13 6 0 t 2 t1 6 0 This exponent is twice this exponent. This exponent is twice this exponent. R b R b 2n4 5n2 1 2n2 5n1 1 This pattern enables us to work with equations in quadratic form like we can work with quadratic equations. 638 CHAPTER 10 Quadratic Equations and Functions www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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