A systems architect models the relationship between the number of active server nodes, nnn, and the number of concurrent maintenance processes, mmm, using the equation
n2−12m−10=0 n^2 - 12m - 10 = 0 n2−12m−10=0Assume that n n\,n and m m\,m are both integers.
Prove that n n\,n is even.
Hence, prove that 6m+56m + 56m+5 is even and explain why this leads to a contradiction.
Explain what can be deduced about the possible integer values for n n\,n and m m\,m in this model.
Practise AQA A Level Maths 1.4 A: Proof with exam-style questions for A Level Maths. 107 questions covering 1.4.1 Structure and methods of proof, matched to the AQA A Level Maths (7357) 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.
