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For what value of k is 4x\(^2\) - 12x + k, a perfect square?

Further Mathematics
WAEC 2021

For what value of k is 4x\(^2\) - 12x + k, a perfect square?

  • A. -9
  • B. \(\frac{-9}{4}\)
  • C. \(\frac{9}{4}\)
  • D. 9
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Correct Answer: Option D
Explanation

4x\(^2\) - 12x + k;

a = 4, b = -12, c = k.

For perfect square  b\(^2\) = 4ac

(-12)\(^2\) = 4 * 4 * k;

144 = 16k

k = 144\16

k = 9


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