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.
368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.