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    Question

    If x²- 5x + 1 = 0, what is the value of x² +

    1/x2?
    A 21 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 25 Correct Answer Incorrect Answer
    D 23 Correct Answer Incorrect Answer

    Solution

    x²- 5x + 1 = 0 ------- (i) Dividing eqn (i) by x => x²/x - 5x/x + 1/x = 0 => x + 1/x = 5 Now, x² + 1/x² = 5² - 2 = 23

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