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Challenge 262: Rational Results

The number N = (p + 6x)/(6 + qx) is rational.

Given that p and q are positive integers, and that x2 = 2, find all the possible pairs of values for p and q.

What is the largest positive value that N could take?

Submit your solution

Please do send in your solution to this problem to  weeklymaths@kcl.ac.uk  You can scan or photograph your written work, or type your solutions. If this is your first weekly maths challenge solution, please include your year group and the name of the school you attend. We'll be happy to provide you with feedback on your solution.

 

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