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    5. If the roots of the equation x² + 5x + k = 0 are real and equal, find the value of k.

    Question

    If the roots of the equation x² + 5x + k = 0 are real

    and equal, find the value of k.
    A 6.25 Correct Answer Incorrect Answer
    B -25 Correct Answer Incorrect Answer
    D -12.25 Correct Answer Incorrect Answer

    Solution

    For real and equal roots, the discriminant must be zero: D = b² - 4ac = 0 5² - 4(1)(k) = 0. Thus, k = 25/4 = 6.25. Correct answer : a) 6.25

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