Verified Answer :

\(8x^{2} - 9x - 5 = 0\)

\(x = \frac{-(-9) +/- \sqrt{(-9)^{2} - 4(8)(-5)}}{2(8)}\)

\(x = \frac{9 +/- \sqrt{81 + 160}}{16}\)

\(x = \frac{9 +/- \sqrt{241}}{16}\)

\(x = \frac{9 +/- 15.524}{16}\)

\(x = 0.5625 +/- 0.97025\)
\(x = 0.5625 + 0.97025\)                                   \(x = 0.5625 - 0.97025\)
\(x = 1.53275\)                                                  \(x = -0.40775\)