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    Question

    If the roots of the quadratic

    equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
    A 1/2 Correct Answer Incorrect Answer
    B -2/3 Correct Answer Incorrect Answer
    C 3/4 Correct Answer Incorrect Answer
    D -5/7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Given: α, β are the roots of the quadratic equation 5x² + 4x + 6 = 0. We need to find (1/α) + (1/β). We know that for a quadratic equation ax² + bx + c = 0, Sum of roots, α + β = -b/a = -4/5 Product of roots, αβ = c/a = 6/5 Now, Thus, (1/α) + (1/β) = -2/3 .

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