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Discussion :: Quadratic Equations

  1. If the roots of the equation 2x2 - 5x + b = 0 are in the ratio of 2:3, then find the value of b?
    2. A.
    3
    B.
    4
    C.
    5
    D.
    6
    E.
    None of these

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    Answer : Option A

    Explanation :

    Let the roots of the equation 2a and 3a respectively.
    2a + 3a = 5a = -(- 5/2) = 5/2 => a = 1/2
    Product of the roots: 6a2 = b/2 => b = 12a2
    a = 1/2, b = 3.

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