In a structural analysis model, the stability ratio σ\sigmaσ of a cantilever beam depends on a load factor ppp, where p>13p > \frac{1}{3}p>31. The ratio is given by:
σ=4+27p1+3p\sigma = \frac{4 + \sqrt{27p}}{1 + \sqrt{3p}}σ=1+3p4+27p
Show that this expression can be written in the form:
σ=9p−4+3p3p−1\sigma = \frac{9p - 4 + \sqrt{3p}}{3p - 1}σ=3p−19p−4+3p
Practise Edexcel A Level Maths 1.2 Algebraic Fractions with exam-style questions for A Level Maths. 16 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.