Consider the system of quadratic equations
y = 3x^2 - 5x
y = 2x^2 - x - c
where c is a real number.
(a) For what value(s) of c will the system have exactly one solution
(b) For what value(s) of c will the system have more than one real solution?
(c) For what value(s) of c will the system have no real solutions?
Solutions to the quadratics are (x,y) pairs. Please address both c and (x,y) for each part.
Thanks!