Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 9 Quadratic Relations and Conic Sections - 9.7 Solve Quadratic Systems - Guided Practice for Examples 1 and 2 - Page 659: 3

Answer

$$\begin{pmatrix}y=\frac{15+\sqrt{73}}{2},\:&x=-\frac{49+5\sqrt{73}}{4}\\ y=\frac{15-\sqrt{73}}{2},\:&x=-\frac{49-5\sqrt{73}}{4}\end{pmatrix}$$

Work Step by Step

In order to solve the system using a graphing calculator, graph each of the equations. Then, find the intersection(s) between the two graphed functions to find the solutions. Doing this, we find that the solutions to the equation are: $$\begin{pmatrix}y=\frac{15+\sqrt{73}}{2},\:&x=-\frac{49+5\sqrt{73}}{4}\\ y=\frac{15-\sqrt{73}}{2},\:&x=-\frac{49-5\sqrt{73}}{4}\end{pmatrix}$$
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