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    Question

    If the roots of the quadratic equation 7y² + 5y + 9 = 0

    are α and β, then find the value of [(1/α) + (1/β)].
    A 1/2 Correct Answer Incorrect Answer
    B -2/3 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 7y² + 5y + 9 = 0. We know: α + β = -b/a = -5/7 αβ = c/a = 9/7 Now, Thus, (1/α) + (1/β) = -5/9 .

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