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      Question

      In the question, two equations I and II are given. You

      have to solve both the equations to establish the correct relation between x and y and choose the correct option. I. 20x² – 43x + 21 = 0 II. 5y² – 17y + 14 = 0
      A x > y Correct Answer Incorrect Answer
      B x < y Correct Answer Incorrect Answer
      C x ≥ y Correct Answer Incorrect Answer
      D x ≤ y Correct Answer Incorrect Answer
      E x = y or the relationship cannot be established Correct Answer Incorrect Answer

      Solution

      ATQ,

      From I:

      20x² – 43x + 21 = 0

      20x² – 15x – 28x + 21 = 0

      5x(4x – 3) – 7(4x – 3) = 0

      (5x – 7)(4x – 3) = 0

      x = 7/5, 3/4

      x = 1.4, 0.75

      From II:

      5y² – 17y + 14 = 0

      5y² – 10y – 7y + 14 = 0

      5y(y – 2) – 7(y – 2) = 0

      (5y – 7)(y – 2) = 0

      y = 7/5, 2.

      Y = 1.4, 2

      So x ≤ y

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