Answer
14 and 15
Work Step by Step
$x*(x+1)=210$
$x^2+x-210=0$
$x^2+15x-14x-210=0$
$x(x+15)-14(x+15)=0$
$(x+15)(x-14)=0$
$x+15=0$
$x=-15$ (room numbers can't be negative, so this answer is invalid)
$x-14=0$
$x=14$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 6 - Section 6.7 - Quadratic Equations and Problem Solving - Exercise Set - Page 466: 23
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