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 / Indices and surds / 2.17

2.17: Finding integers in a surd equation

0606/23/O/N/17 — Question 3 · 4 marks

· ·
(a)
Find integers ppp and qqq such that p3−1+13+1=q+33\dfrac{p}{\sqrt{3} - 1} + \dfrac{1}{\sqrt{3} + 1} = q + 3\sqrt{3}3​−1p​+3​+11​=q+33​.
[4]
← 2.10: Linear expression in a surd variable1.2: Simplifying surds and solving with fractional indices →
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