Question

    If (x 2 = 8x - 16), then find the value of [x³

    + (x⁴/16)][4 - x³]
    A -4800 Correct Answer Incorrect Answer
    B -4600 Correct Answer Incorrect Answer
    C -5000 Correct Answer Incorrect Answer
    D -4200 Correct Answer Incorrect Answer

    Solution

    x² = 8x - 16
    ⇒ x² - 8x + 16 = 0
    ⇒ (x - 4)² = 0
    ⇒ x = 4

    Required value = [4³ + (4⁴/16)] × [4 - 4³]
    = (64 + 16) × (-60)
    = 80 × (-60) = -4800

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