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Discussion :: Quadratic Equations

  1. Find the quadratic equations whose roots are the reciprocals of the roots of 2x2 + 5x + 3 = 0?
    2. A.
    3x2 + 5x - 2 = 0
    B.
    3x2 + 5x + 2 = 0
    C.
    3x2 - 5x + 2 = 0
    D.
    3x2 - 5x - 2 = 0
    E.
    None of these

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    Answer : Option B

    Explanation :

    The quadratic equation whose roots are reciprocal of 2x2 + 5x + 3 = 0 can be obtained by replacing x by 1/x.
    Hence, 2(1/x)2 + 5(1/x) + 3 = 0
    => 3x2 + 5x + 2 = 0

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