Answer
$x=6$.
Work Step by Step
Our equation is, according to the text of the exercise: $2\cdot24\cdot10=(24+x)(10+x)\\480=240+x^2+34x\\x^2+34x-240=0\\(x-6)(x+40)=0$
Thus $x=6$ or $x=-40$ but $x$ has to be positive, thus $x=6$.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - 4.3 Solve x(squared) + bx + c = 0 - 4.3 Exercises - Skill Practice - Page 256: 42
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
