\(4 x^{2}-4 x+1\)
\( \frac{\alpha}{\beta}+\frac{\beta}{\alpha}\)
\(=\frac{\alpha^{2}+\beta^{2}}{\alpha \beta}\)
\(=\frac{(\alpha+\beta)^{2}-2 \alpha \cdot \beta}{\alpha \cdot \beta} \)
\(=\frac{\left(-\frac{b}{a}\right)^{2}=2 \cdot \frac{c}{a}}{\frac{c}{a}}\)
\(=\frac{(1)^{2}-2 \cdot \frac{1}{4}}{\frac{1}{4}}\)
\(=\frac{1-\frac{1}{2}}{\frac{1}{4}}\)
\(=\frac{\frac{2-1}{2}}{\frac{1}{4}}\)
\(=\frac{1}{2} \times \frac{4}{1}\)
\(=2\)
