It is given that $y=\frac{{{x}^{2}}+ax+1}{x-1}$, $x\in \mathbb{R}$, $x
e 1$, where $a$ is a constan

Question

It is given that $y=\frac{{{x}^{2}}+ax+1}{x-1}$, $x\in \mathbb{R}$, $x
e 1$, where $a$ is a constant. Without using a calculator, find the range of values of $a$ such that $y$ can take any real values.

Accepted Answer

$a \leq -2$

NJC Inequalities Tutorial Q8

NJC Inequalities Tutorial Q8

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