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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!

 Feb 28, 2021
 #1
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There is a message board... don't post the aops writing problems here please...

 Feb 28, 2021
 #2
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Do not cheat on AoPS homework.

 Feb 28, 2021

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