1984 年

$\dfrac{4}{(x-2)(x+1)}-\dfrac{3}{x^2-1}=$

If $a=\dfrac{2b(2y-x)}{x-3y}$, then $y=$

$(2^{n+1})^2\times(2^{-2n-1})\div 4^n=$

If $x+2$ is a factor of $x^2+ax+b$, then $2a-b+3=$

If $\alpha$ and $\beta$ are the roots of $3x^2-x-1=0$, then $\dfrac{1}{\alpha^2}+\dfrac{1}{\beta^2}=$

If $(\sqrt3-\sqrt2)x=1$, then $x=$

What is/are the root(s) of $\sqrt{5-x}=x-3$?

The sum of the first ten terms of an arithmetic progression is 120. If the common difference is 4, then the first term is

$\$10\,000$ is invested for 2 years at $10\%$ per annum, compounded half-yearly. The compound interest, correct to the nearest dollar, is

The equation $x^2+kx+k=0$ has equal roots ($k$ being a constant). $k=$