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

y = 6x^2 - 9x + c - x^2 - x

y = 5x^2 - 3x + x^2 + 2x


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?

 Nov 6, 2022
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(a) c = 11/4.

 

(b) c < 11/4.

 

(c) c > 11/4

 Nov 6, 2022

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