College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.6 - Systems of Nonlinear Equations - 8.6 Assess Your Understanding - Page 614: 6

Answer

$(0,1)$ and $(4,17)$
1564257552

Work Step by Step

$\left\{\begin{array}{l}{y=x^{2}+1}\\{y=4x+1}\end{array}\right.$ Graphed with desmos.com/calculator. Subtracting the equations, $0=x^{2}+1-4x-1$ $0=x^{2}-4x$ $0=x(x-4)$ $\left[\begin{array}{lll} & x=0 & x=4\\ \text{back-substitute:} & y=4(0)+1 & y=4(4)+1\\ & y=1 & y-2\\ & & \\ & (0,1) & (4,17)\\ & & \end{array}\right]$
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.