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Solve this nonlinear system of equations. Show your work.

y=-x^2+6x-5
y=3

a. Use substitution to combine equations. Rewrite so that one side is equal to 0.

b. Factor your equation from Part a.

c. Identify the x-values of the solutions.

d. Identify the solutions to the system.

Respuesta :

A:

y=-x^2+6x-5

y=3

3=-x^2+6x-5

y=0


B:

3−(−x^2+6x−5)=−x^2+6x−5−(−x^2+6x−5)

x^2-6x+8=0

(x-2)(x-4)=0


C:

x-2=0 OR x-4=0


D:

x=2 OR x=4


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