Find the solutions of the equation.
\[
x^{2}-7 x+8=0
\]
Enter a, b, c, d, or e.
a. \( \left\{-\frac{7}{2}-\sqrt{17},-\frac{7}{2}+\sqrt{17}\right\} \)
b. \( \left\{\frac{-7-\sqrt{17}}{2}, \frac{7-\sqrt{\frac{1}{17}}}{2}\right\} \)
c. \( \left\{\frac{7+\sqrt{17}}{2}, \frac{7-\sqrt{17}}{2}\right\} \)
d. \( \left\{7-\frac{\sqrt{17}}{2}, 7+\frac{\sqrt{17}}{2}\right\} \)
e. \( \left\{\frac{7-\sqrt{17}}{2}, \frac{7+\sqrt{17}}{2}\right\} \)