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Discussion :: Quadratic Equations

  1. I. a2 - 13a + 42 = 0,
    II. b2 - 15b + 56 = 0 to solve both the equations to find the values of a and b?
    2. A.
    If a > b
    B.
    If a ≥ b
    C.
    If a < b
    D.
    If a ≤ b
    E.
    If a = b or the relationship between a and b cannot be established.

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    Answer : Option D

    Explanation :

    I. a2 - 13a + 42 = 0
    =>(a - 6)(a - 7) = 0 => a = 6, 7
    II. b2 - 15b + 56 = 0
    =>(b - 7)(b - 8) = 0 => b = 7, 8
    =>a ≤ b

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