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Find the values of x which satisfy the equation 16x - 5 x 4x +...

Mathematics
JAMB 1986

Find the values of x which satisfy the equation 16x - 5 x 4x + 4 = 0
  • A. 1 and 4
  • B. -2 and 2
  • C. 0 and 1
  • D. -1 and 0
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Correct Answer: Option C
Explanation
16x - 5 x 4x + 4 = 0

(4x)2 - 5(4x) + 4 = 0

let 4x = y

y2 - 5y + 4 = 0

(y - 4)(y - 1) = 0

y = 4 or 1

4x = 4

x = 1

4x = 1

i.e. 4x = 4o, x = 0

∴ x = 1 or 0

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