Target Mathematics
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Course

  • Add Math 0606
  • FPM 4PM1

Add Math 0606 topics

  • 1. Functions55
  • 2. Simultaneous equations and quadratics34
  • 2. Quadratic functions35
  • 3. Factors and polynomials61
  • 4. Equations, inequalities and graphs127
  • 5. Logarithmic and exponential functions86
  • 6. Straight-line graphs107
  • 7. Coordinate geometry of the circle6
  • 8. Circular measure68
  • 9. Trigonometry180
  • 10. Permutations and combinations55
  • 11. Series99
  • 12. Calculus — Differentiation 185
  • 13. Vectors51
  • 14. Calculus — Differentiation 261
  • 15. Calculus — Integration92
  • 16. Kinematics42
  • Indices and surds39

Study tools

  • Add Math 0606 overview
  • Formula summary
Additional Mathematics 0606 / Equations, inequalities and graphs / 3.108

3.108: Solve a cubic reciprocal equation

0606/13/O/N/23 — Question 7 · 4 marks

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Solve the equation x3−1x3=6(x−1x)x^{3} - \dfrac{1}{x^{3}} = 6\left(x - \dfrac{1}{x}\right)x3−x31​=6(x−x1​). Give your answers in exact form.
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← 3.84: Linear and modulus graphs; inequality3.85: Solve an equation with 10\sqrt{10}10​ →
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