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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 (x,y)?

 

(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. Your answers will be in terms of c, but make sure you address both x and y for each part.

 

I would appreciate hints or answers. :)

 

Thank you if you can help!

 

If you could help with part a, b, and c, that would be awesome. If you could only help with one, awesome. Just please help me. All help would be greatly appreciated. :)

 Jul 12, 2020
edited by Guest  Jul 12, 2020
 #1
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Here's a hint: Try using the discriminant.

 Jul 12, 2020
 #2
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So I do the quadratic formula for both of the equations, and find their descriminents?
 

What do I do with them?

Guest Jul 12, 2020
 #3
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As follows:

 

My last line should say, I'll leave you to work out the values of x and y for each part of the question!

 Jul 13, 2020
edited by Alan  Jul 13, 2020

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