Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.3 - Graphing Equations - Exercise Set - Page 37: 37


The points are $(1,1)$ and $(-2,4)$.

Work Step by Step

$y_{1}=x^{2},$ $y_{2}=2-x,$ Therefore, when they intersect, the y values have to be equal. i.e. $y_{1}=y_{2},$ So, $x^{2}=2-x,$ $x^{2}+x-2=0,$ $x^{2}+2x-x-2=0,$ $x(x+2)-(x+2)=0,$ $(x-1)(x+2)=0,$ So, $x=1,-2.$ For $x=1,y=1$ For $x=-2,y=4$ So, the points are $(1,1)$ and $(-2,4)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.