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3 marksSolving Equations Reducible to Quadratic Form

CSEC Additional Mathematics · 2019 · Paper 2 · Question 1(b)(ii)

Two functions are given: g(x) = x² - x and h(x) = 2x - 3.

Given that hg(x) = 2x² - 2x - 3, show that the values of x, for which hg(x) = 0, can be expressed as (1 ± √7) / 2.

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Other parts of this question

  1. 1(a)(i)Determine all linear factors of f(x).[3 marks]
  2. 1(a)(ii)Compute the roots of the function f(x).[2 marks]
  3. 1(b)(i)Determine gh(x).[2 marks]
  4. 1(c)Solve 3x log 2 + log 8x = 2.[4 marks]

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