Find the exact solution of the inequality $\frac{2x+1}{{{x}^{2}}-1}\le 1$. [3] (b) A curve $G$ has e

Question

Find the exact solution of the inequality $\frac{2x+1}{{{x}^{2}}-1}\le 1$. [3] (b) A curve $G$ has equation $a{{y}^{2}}+b{{x}^{3}}+cx=2$, where $a$, $b$ and $c$ are constants. It is given that $G$ passes through the point $\left( 1,\sqrt{3} \right)$ and the gradient at the point $(-1.1)$ is $-\frac{3}{2}$. Find the equation of the curve $G$. [4]

Accepted Answer

x < -1 or 1-√3 ≤ x < 1 or x ≥ 1+√3

2020 HCI P1 Q4

2020 HCI P1 Q4

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