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 - 72R11+2R=2μ−7
where 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.
Practise Edexcel A Level Maths 1.2 Algebraic Fractions with exam-style questions for A Level Maths. 16 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.