2025 CGSS PRELIMS P2 Q3

2025 CGSS PRELIMS P2 Q3

Secondary 4
7 marks
  1. Solve the equation \(3x^3 - 11x^2 + 3x + 2 = 0\), expressing non-integer roots in surd form.[5]
  2. Hence, solve the equation \(x^3 + 11x^2 + 9x - 18 = 0\), expressing non-integer roots in surd form.[2]

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Answer:(a) \(x=\frac{2}{3},\ \frac{3+\sqrt{13}}{2},\ \frac{3-\sqrt{13}}{2}\) (b) \(x=-2,\ \frac{-9-3\sqrt{13}}{2},\ \frac{-9+3\sqrt{13}}{2}\)

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