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    Question

    If (x 2 = 10x – 25), then find the value of

    [x³ + (x⁴/25)][7 - x³]
    A -17700 Correct Answer Incorrect Answer
    B -16600 Correct Answer Incorrect Answer
    C -18800 Correct Answer Incorrect Answer
    D -18000 Correct Answer Incorrect Answer

    Solution

    x² = 10x - 25
    ⇒ x² - 10x + 25 = 0
    ⇒ (x - 5)² = 0
    ⇒ x = 5

    Required value = [5³ + (5⁴/25)] × [7 - 5³]
    = (125 + 25) × (-118)
    = 150 × (-118) = -17700

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