\(\frac{x}{4}=\frac{1}{y}+\frac{1}{2}\Rightarrow\frac{1}{y}=\frac{x}{4}-\frac{1}{2}=\frac{x}{4}-\frac{2}{4}=\frac{x-2}{4}\Rightarrow1\times4=y\times\left(x-2\right)=4\)
=>\(y\inƯ\left(4\right)=\left\{1;2;4;-1;-2;-4\right\}\)
y | 1 | 2 | 4 | -1 | -2 | -4 |
x-2 | 4 | 2 | 1 | -4 | -2 | -1 |
x | 6 | 4 | 3 | -2 | 0 | -3 |