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Algebraic Methods

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Question 188

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=0

Assume that n n\,n and m m\,m are both integers.

a.

Prove that n n\,n is even.

[2]
b.

Hence, prove that 6m+56m + 56m+5 is even and explain why this leads to a contradiction.

[3]
c.

Explain what can be deduced about the possible integer values for n n\,n and m m\,m in this model.

[1]

Algebraic Methods Questions

  1. A Level
  2. /Maths
  3. /Algebraic Methods

Practise Edexcel A Level Maths Algebraic Methods with exam-style questions for A Level Maths. 226 questions covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division, 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.

Question bank