99關西高中

第8題
設該整數根為\(n\)
\(\begin{align}
  & {{n}^{2}}-\left( 3+\sqrt{2} \right)n+\sqrt{2}m-4=0 \\
& \left( {{n}^{2}}-3n-4 \right)+\left( m-n \right)\sqrt{2}=0 \\
& {{n}^{2}}-3n-4=0\ and\ m-n=0 \\
& m=n=4\ or\ -1 \\
\end{align}\)