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1 Pure Mathematics

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Question 1678

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]

1 Pure Mathematics Questions

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