# Four tangents

**Geometry**Level 4

If two of them are: \[y=\dfrac{a \pm b\sqrt{c}}{d}x+\dfrac{e \pm f\sqrt{c}}{d}\] And the other two are: \[y=\dfrac{g \pm h\sqrt{j}}{k}x+\dfrac{l \pm m\sqrt{j}}{k}\]

Find \(a+b+c+d+e+f+g+h+j+k+l+m\), where the equations of the line are in its simplest form.