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: 50

Answer

$t=10$

Work Step by Step

$\displaystyle \frac{1}{3-t}+\frac{4}{3+t}+\frac{15}{9-t^{2}}=0$ We multiply by $(3+t)(3-t)$: $(3+t)+4(3-t)+15=0$ Then we distribute and simplify: $3+t+12-4t+15=0$ $-3t+30=0$ $-3t=-30$ And solve for $t$: $t=10$
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