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Consider the system of quadratic equations y =3x^2 - 6x, 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.

 
 Jan 24, 2021

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