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.

Question

Mathematics

Braydon Hansen

5 June, 05:42

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.

+3

Answers (1)

Know the Answer?

Leandro Bradley · Answer 1

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

Solve this nonlinear system of equations. Show your work.y=-x^2+6x-5y=3a. 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.

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.