College Algebra 7th Edition

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

Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 64


$\left\{\dfrac{4-\sqrt{7}}{3}, \dfrac{4+\sqrt{7}}{3}\right\}$

Work Step by Step

Take the square root of both sides to obtain: $3x-4 = \pm \sqrt{7}$ Add 4 on both sides of the equation to obtain: $3x=4 \pm \sqrt{7}$ Divide 3 on both sides of the equation to obtain: $x =\dfrac{4\pm \sqrt{7}}{3}$ Thus, the solution set of the given equation is $\left\{\dfrac{4-\sqrt{7}}{3}, \dfrac{4+\sqrt{7}}{3}\right\}$.
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