In a model of planetary perturbation, the radial distance RRR of a satellite relative to an orbital plane is defined by the equation
112R+2R=2μ−7 \frac{11}{2R} + 2R = 2\mu - 7 2R11+2R=2μ−7where μ\muμ is a gravitational parameter and R≠0R \neq 0R=0.
Determine the range of possible values for μ\muμ such that there are no real values of RRR that satisfy this model.
532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.