Two chemical models describe the rate of reaction RRR as a function of temperature TTT. The models are defined by the quadratic expressions R1(T)=4T2+αT+βR_1(T) = 4T^2 + \alpha T + \betaR1(T)=4T2+αT+β and R2(T)=4T2+γT+δR_2(T) = 4T^2 + \gamma T + \deltaR2(T)=4T2+γT+δ. Both models are found to share a common linear factor of (2T−7)(2T - 7)(2T−7).
Show that 7(γ−α)=2(β−δ)7(\gamma - \alpha) = 2(\beta - \delta)7(γ−α)=2(β−δ).
Fully justify your answer.
306 exam-style questions on CCEA A Level Maths 1.1 Algebra and functions, covering 1.1.1 Algebra and functions, 1.1.2 Algebra and functions, 1.1.3 Algebra and functions, 1.1.4 Algebra and functions, 1.1.5 Algebra and functions, 1.1.6 Algebra and functions, 1.1.7 Algebra and functions, 1.1.8 Algebra and functions, 1.1.9 Algebra and functions, 1.1.10 Algebra and functions, 1.1.11 Algebra and functions, 1.1.12 Algebra and functions, 1.1.13 Algebra and functions, and 1.1.14 Algebra and functions. Each one has a worked solution and a mark scheme showing where the marks go.