Question

What are the ordered pairs of the

solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12
(3, [?]); ([ ], [ 1)

Answer 1

Answer:
`(-3,18),\ (3,6)`

Explanation:

Given

Functions are
`x^2-2x+3\ \text{and}\ -2x+12`

Equate them to solve

`x^2-2x+3=-2x+12\\\Rightarrow x^2=9\\\Rightarrow x=\pm 3\\\therefore y=6,18\\\text{Ordered pairs are}\\(-3,18),\quad (3,6)`