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.
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.