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18 November, 15:13

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.

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Answers (1)
  1. 18 November, 15:39
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    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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