+67 Consider the system of quadratic equations
\(\begin{align*} y &=3x^2 - 5x, \\ y &= 2x^2 - x - c, \end{align*}\)
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 quadratic are (x,y) pairs. Your answer will be in terms of c, but make sure you address both x and y for each part.
Thank you in advance!
+57 There is a message board... don't post the aops writing problems here please...
