Question
If (x 2 = 8x - 16), then find the value of [x³ + (x⁴/16)][4 - x³]
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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