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: 19

Answer

$x=3\pm 2\sqrt{5}$

Work Step by Step

We complete the square: $x^{2}-6x-11=0$ $x^{2}-6x=11$ $x^{2}-6x+9=11+9$ $(x-3)^{2}=20$ $x-3=\pm\sqrt{20}=\pm 2\sqrt{5}$ $x=3\pm 2\sqrt{5}$
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