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    Question

    If the value of x satisfies the equation (125 × 4 – x

    × 2)/x + 50 = 200/x, then the sum of all the possible values of x is?
    A 200 Correct Answer Incorrect Answer
    B 100 Correct Answer Incorrect Answer
    C 250 Correct Answer Incorrect Answer
    D 150 Correct Answer Incorrect Answer

    Solution

    According to question, (125 × 4 – x × 2)/x + 50 = 200/x => 2x2 - 300x + 10000 = 0 By solving this quadratic equation, we get => x = 100, 50 So, 100 and 50 are the possible values for x. Therefore, sum of all the possible values of x = 100 + 50 = 150

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