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    • Question

      The following question contains two equations as I and

      II.You have to solve both equations and determine the relationship between them. I). a² + 18a – 115 = 0 II). b² - 24b + 95 = 0
      A a > b Correct Answer Incorrect Answer
      B a < b Correct Answer Incorrect Answer
      C a ≥ b Correct Answer Incorrect Answer
      D a ≤ b Correct Answer Incorrect Answer
      E a = b or the relationship between x and y cannot be determined. Correct Answer Incorrect Answer

      Solution

      I. a²+18a -115 = 0 a² + 23a -5a -115 = 0 a (a+23) -5 (a+23) = 0 (a-5) (a+23) = 0 a = 5, -23 II. b² - 24b + 95 = 0 b² - 19b – 5b + 95 =0 b (b-19) -5 (b-19) = 0 (b - 5)(b - 19) = 0 b = 5, 19 Therefore a ≤ b.

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