1995 年

Round off the number $0.044449$ to 3 significant figures.

If $\dfrac{x+y}{xy}=1$, then $y=$

If $\mathrm{f}(x)=x^{99}+99x+k$ is divisible by $x+1$, then $k=$

Simplify $\left(\dfrac{a^6}{b^{12}}\right)^{-\frac{2}{3}}$

$\dfrac{1}{2+\sqrt6}-\dfrac{1}{2-\sqrt6}=$

The L.C.M. of $x^3-x$ and $x^4-1$ is

Solve the simultaneous equations: $\begin{cases}4x-\dfrac{y}{3}=6\\2x+\dfrac{y}{6}=-1\end{cases}$

Which of the following shaded regions represents the solution of $\begin{cases}y\ge 0\\x-y\ge -3\\x+2y\le 0\end{cases}$ ?

Find the values of $x$ which satisfy both $-x<4$ and $\dfrac{2x-16}{3}>-2$.

If $3x^2+6x+1\equiv 3(x+b)^2+c$, then $c=$