What are the ordered pairs of the solutions for this system of equations?
f(x) = x^2 - 2x + 3
f(x) = -6x
y= x^2 - 2x + 3
y= -6x
Setting the equations = we have that
x^2 - 2x + 3 = -6x rearrange as
x^2 + 4x + 3 = 0 factor as
(x + 3) ( x + 1) = 0
Set each factor to 0 and solve for x and we get that
x= -3 and y = -6(-3) = 18
x= -1 and y = -6(-1) = 6
Solutions : ( -3, 18) and ( -1, 6)