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Let c be a real number, and consider the system of quadratic equations

  y = 6x^2 - 9x + c - 3x^2 + 17x

  y = 5x^2 - 3x - 2x^2 + 10x - 18


For which values of  c does this system have:
(a) Exactly one real solution (x,y)
(b) More than one real solution?
(c) No real solutions?

Solutions to the quadratics are (x,y) pairs.
 

 
 Nov 11, 2023

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