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5 marksCompleting the Square

CSEC Mathematics · January 2005 · Paper 2 · Question 9(c)(i)

Write 3x² + 8x - 25 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 x² = 4 - y and x = y + 2.[5 marks]
  2. 9(b)By simplifying, show that (2x - 3)(2x + 3) - (x - 4)² = 3x² + 8x - 25.[2 marks]
  3. 9(c)(ii)Hence, or otherwise, determine the minimum value of 3x² + 8x - 25.[5 marks]
  4. 9(d)Solve the equation 3x² + 8x - 25 = 0 giving your answers correct to one decimal place.[3 marks]

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