Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Review - Page 832: 65

Answer

$x=(21-\sqrt {41})/50$, $x=(21+\sqrt {41})/50$

Work Step by Step

$(5a-2)^2-a=0$ $(5a-2)(5a-2)-a=0$ $5a*5a+5a*-2+5a*-2+(-2)(-2)-a=0$ $25a^2-10a-10a+4-a=0$ $25a^2-21a+4=0$ $a=25$, $b=-21$, $c=4$ $x=(-b±\sqrt {b^2-4ac})/2a$ $x=(-(-21)±\sqrt {(-21)^2-4*25*4})/2*25$ $x=(21±\sqrt {441-400})/50$ $x=(21±\sqrt {41})/50$
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