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Find the coordinates of the points where the curve $y = x^{\frac{2}{3}} - 1$ intersects the curve $y = x^{\frac{1}{3}} + 1$.
Mathematics 9709 · AS & A Level · Functions
Find the coordinates of the points where the curve $y = x^{\frac{2}{3}} - 1$ intersects the curve $y = x^{\frac{1}{3}} + 1$.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Eliminate to produce a quadratic equation (for example, in $x^{1/3}$ or $y$)” …