using the quadratic formula to solve 7x^2-x-7=0
\(7x^{2} - x - 7 = 0\)\(x = \frac{-(-1) \± \sqrt{(-1)^{2} - 4(7)(-7)}}{2(7)}\)\(x = \frac{1 \± \sqrt{1 + 196}}{14}\)\(x = \frac{1 \± \sqrt{197}}{14}\)\(x = \frac{1 + \sqrt{197}}{14}\) \(or\) \(x = \frac{1 - \sqrt{197}}{14}\)