Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Completing the Square - Page 138: 41

Answer

$$y=1+\sqrt{7},\:y=1-\sqrt{7}$$

Work Step by Step

The quadratic formula states: $$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ Thus, solving the equation, we find: $$ y_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\left(-18\right)}}{2\cdot \:3} \\ y=1+\sqrt{7},\:y=1-\sqrt{7}$$
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.