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3 marksCompleting the Square

CSEC Mathematics · January 2006 · Paper 2 · Question 9(b)

Express 4x^2 - 12x - 3 in the form a(x + h)^2 + k, where a, h and k are real numbers.

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Other parts of this question

  1. 9(a)Solve the pair of simultaneous equations: 2x + y = 7 and x^2 - xy = 6.[6 marks]
  2. 9(c)(i)Using your answer from (b) above, or otherwise, calculate the minimum value of 4x^2 - 12x - 3.[1 mark]
  3. 9(c)(ii)Using your answer from (b) above, or otherwise, calculate the value of x for which the minimum occurs.[1 mark]
  4. 9(c)(iii)Using your answer from (b) above, or otherwise, calculate the values of x for which 4x^2 - 12x - 3 = 0 expressing your answers to 3 significant figures.[4 marks]

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