Matching Pairs Reasoning: Equa. & Inequa. Online version With your partner, you are to match the solution steps with its reasoning. Good luck and work together! by Margo Dionisio 1 x^2 – 7x + 10 = 0 2 (x – 1)^2 = (√5x-9)^2 3 x = 5 or 3 4 x^2 – 2x + 1 = 5x – 9 5 x^2 – 2x + 1 = 5x – 9 6 x – 1 = √5x-9 7 5 – 1 = √5(5)-9 4 = √16 4 = 4 Correct! 3 – 1 = √5(3)-9 2 = √6 Incorrect! 8 (x – 1)(x – 1) = 5x – 9 9 (x – 5)(x – 3) = 0 Check for Extraneous Solutions! Used Zero Product Property Binomial Expansion Square both sides to eliminate the square root. Multiplied Binomials Given Equation Binomial Expansion Set equal to zero Factored