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!

ofwvaf May 6, 2020