Find the set of values of x x\,x for which
(x+5)(x+1)<k (x + 5)(x + 1) < k (x+5)(x+1)<kwhere k>5 k>5\,k>5 and k+4k+4k+4 is the square of an integer. Give your answer in terms of kkk.
206 exam-style questions on Edexcel A Level Maths Equations and Inequalities, covering 3.1 Linear Simultaneous Equations, 3.2 Quadratic Simultaneous Equations, 3.3 Simultaneous Equations on Graphs, 3.4 Linear Inequalities, 3.5 Quadratic Inequalities, and 3.6 Inequalities on Graphs. Each one has a worked solution and a mark scheme showing where the marks go.