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    Question

    If (x 2 = 2x – 1), then find the value of [x³

    + (x⁴/1)][1 - x³]
    A 2 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D -2 Correct Answer Incorrect Answer

    Solution

    x² = 2x - 1
    ⇒ x² - 2x + 1 = 0
    ⇒ (x - 1)² = 0
    ⇒ x = 1
    Required value = [1³ + (1⁴/1)] × [1 - 1³]
    = (1 + 1) × (0)
    = 2 × 0 = 0

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