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    Question

    If the roots of the quadratic equation 6m² + 7m + 8 = 0

    are α and β, then what is the value of [(1/α) + (1/β)]?
    A 9/8 Correct Answer Incorrect Answer
    B -7/8 Correct Answer Incorrect Answer
    C 4/9 Correct Answer Incorrect Answer
    D -5/9 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given: α, β are the roots of 6m² + 7m + 8 = 0. We know: α + β = -b/a = -7/6 αβ = c/a = 8/6 = 4/3 Now, Thus, (1/α) + (1/β) = -7/8 .

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