Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

(main)[5]

Determine the real solution of $\frac{2e^x + e^{-x}}{2 + e^x} = 3$, and give your answer to $3$ decimal places. Your solution should clearly indicate that there is only one real root.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rewrite as a quadratic in three terms, $u^2+6u-1=0$” …

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