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

asked Dec 17, 2022 143k views

1 vote

What are the ordered pairs of the

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

by Merry

3.7k points

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4 votes

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

Explanation:

Given

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

Equate them to solve

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

Kfitzpatrick answered Dec 22, 2022

3.5k points

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