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!

shananigans Feb 28, 2021

#1**0 **

There is a message board... don't post the aops writing problems here please...

Pendragon107 Feb 28, 2021