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Let c be a real number, and consider the system of quadratic equations
y = x^2 - 9x + c,
y = 8x^2 - 13x.
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 15, 2023

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