Mathematics > EXAM > Practice Final Exam: GSE Algebra II Y (All)
Practice Final Exam: GSE Algebra II Y
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Question 5 Selected Answer: Answers: Response Feedback: Solve the equation: 12x2 + 4x = 5 x = ½; x = -5/6 x = 2; x = -5/6 x = ½; x = -5/6 x = -1/2; x = 5/6 no solution 12x² + 4x = 5 12x ... ² + 4x – 5 = 0 Set the equation equal to 0, subtract 5 from both sides. 12x² - 6x + 10x – 5 = 0 Rewrite the trinomial. (12x² - 6x) + (10x – 5) = 0 Group into a sum of two pairs. 6x(2x – 1) + 5(2x – 1) = 0 Factor the greatest common factor from both pairs. (2x – 1)(6x + 5) = 0 Factor the common binomial from each pair. 2x – 1 = 0; 6x + 5 = 0 Use the zero-product property to set each factor equal to 0. 2x = 1; 6x = -5 Solve each equation separately. x = ½; x = -5/6 [Show More]
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