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Discussion :: Quadratic Equations

  1. If the roots of a quadratic equation are 20 and -7, then find the equation?
  2. A.
    x2 + 13x - 140 = 0
    B.
    x2 - 13x + 140 = 0
    C.
    x2 - 13x - 140 = 0
    D.
    x2 + 13x + 140 = 0
    E.
    None of these

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    Answer : Option C

    Explanation :

    Any quadratic equation is of the form
    x2 - (sum of the roots)x + (product of the roots) = 0 ---- (1)
    where x is a real variable. As sum of the roots is 13 and product of the roots is -140, the quadratic equation with roots as 20 and -7 is: x2 - 13x - 140 = 0.


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