Number Theory: Problem 6
Solution to (a)
Let's choose \(n = 9\). Then \(n^2 + 9n - 2 = 9^2 + 9 * 9 -2 = 160 \). Total number of people who get the muffins is 20 and each person will get 8 muffins. So \(n = 9\) is a solution.