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    Question

    If x^2 - 7x + k = 0 has roots that are equal, what is the value of k?

    A 12.25 Correct Answer Incorrect Answer
    B 16 Correct Answer Incorrect Answer
    C 24.5 Correct Answer Incorrect Answer
    D 49 Correct Answer Incorrect Answer

    Solution

    For equal roots, the discriminant must be zero: b^2 - 4ac = 0 → (-7)^2 - 4(1)(k) = 0 49 - 4k = 0 4k = 49 k = 49/4 = 12.25.

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