Please help me with this algebra question?!?!?!?

Question

Find the discriminant of the equation in terms of p and q. Suppose q<p<0. Tell how many real solutions the equation has. px^2+qx-p

I really need help with this math question!

And indoor gym room consists of a rectangular region designated for excersice equipment and a semicircle on each end of the rrectangular region. The perimeter of the room is to be a 200 meter single-lane running track.

A. What is the radius of the semicircular ends of the room? Determine the distance, in terms of y, around the inside edge of the two semicircular parts of the track.
b. Use the result of part a to write an equation, in terms of x and y, for the distance traveled in one lap around the inside edge of the track. SOlve for y.
c. Use the result of part b to write the area A of the rectangular region as a function of x.
d. Rewrite the equation in part c in intercept form.
e. What dimensions will produce a maximum area of a rectangle?

Thank you so much!