I found this on socratic
https://socratic.org/questions/sin-theta-1-4-what-is-the-value-of-costheta#452775 - you should find the answer there
-b+sqrt(b^2-4ac)/2 = 5
-b-sqrt(b^2-4ac)/2 = -5
I guess draw the ellipse
So basically the ratio between their speeds is 19 to 18, edith 19, so when edith finishes 19/19 of the race, foley finishes 18/19, meaning there is 1/19 left to go. 1/19 x 24 = 24/19
PLug in the quadratic formula:\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)