College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.4 - Solving Quadratic Equations - 1.4 Exercises: 36

Answer

$3\pm 2\sqrt{2}$

Work Step by Step

We solve using the quadratic formula: $x^{2}-6x + 1 = 0$ $x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=\frac{-(-6)\pm\sqrt{(-6)^{2}-4(1)(1)}}{2(1)}=\frac{6\pm\sqrt{36-4}}{2}=\frac{6\pm\sqrt{32}}{2}=\frac{6\pm\sqrt{16*2}}{2}=\frac{6\pm 4\sqrt{2}}{2}=3\pm 2\sqrt{2}$
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