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

For what value of k is 4x\(^2\) - 12x + k, a perfect square?
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  • A -9
  • B \(\frac{-9}{4}\)
  • C \(\frac{9}{4}\)
  • D 9
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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