Answer
$$m=\frac{-5+\sqrt{3}}{7},\:m=-\frac{5+\sqrt{3}}{7}$$
Work Step by Step
The quadratic formula states:
$$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$
Thus, solving the equation, we find:
$$m_{1,\:2}=\frac{-70\pm \sqrt{70^2-4\cdot \:49\cdot \:22}}{2\cdot \:49} \\ m=\frac{-5+\sqrt{3}}{7},\:m=-\frac{5+\sqrt{3}}{7}$$
