Question

    If x 2  – 15x + 51 = 0, then determine the

    value of (x – 5) + {1/(x – 5)}.
    A 5 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C -12 Correct Answer Incorrect Answer
    D None of the above Correct Answer Incorrect Answer

    Solution

    Given, x 2  – 15x + 50 = -1

    Or, x 2  – 10x – 5x + 50 = -1

    Or, x(x – 10) – 5(x – 10) = -1

    Or, (x – 10)(x – 5) = -1

    Or, x – 10 = -1/(x – 5)

    Or, (x – 5) – 5 = -1/(x – 5)

    Or, (x – 5) + {1/(x – 5)} = 5

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