Answer
$$x=11+2\sqrt{6},\:x=11-2\sqrt{6}$$
Work Step by Step
Solving the equation by isolating $x$ with the quadratic formula, we find:
$$x_{1,\:2}=\frac{-\left(-22\right)\pm \sqrt{\left(-22\right)^2-4\cdot \:1\cdot \:97}}{2\cdot \:1} \\ x=11+2\sqrt{6},\:x=11-2\sqrt{6}$$
