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    Question

    If (x 2 = 12x – 36), then find the value of

    [x³ + (x⁴/36)][6 - x³]
    A -52920 Correct Answer Incorrect Answer
    B -51840 Correct Answer Incorrect Answer
    C -54000 Correct Answer Incorrect Answer
    D -51200 Correct Answer Incorrect Answer

    Solution

    x² = 12x - 36
    ⇒ x² - 12x + 36 = 0
    ⇒ (x - 6)² = 0
    ⇒ x = 6
    Required value = [6³ + (6⁴/36)] × [6 - 6³]
    = (216 + 36) × (-210)
    = 252 × (-210) = -52920

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