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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 

(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!
 

 May 6, 2020
 #1
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You should consider the determinant!

 May 7, 2020

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