Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.2 - Solving Quadratic Equations by the Quadratic Formula - Exercise Set - Page 493: 60


20.5, 27.8

Work Step by Step

We use a similar process as the previous problem. We let one side be x, and the other side be x+7.3. This gives: $$x(x+7.3)=569.9$$ $$x^2+7.3x-569.9=0$$ We know that: $$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ We substitute to find: $$x= \frac{-7.3 \pm \sqrt{7.3^2-4(1)(-569.9)}}{2(1)}$$ When we only consider the positive values, we get: 20.5 We plug this back into the equation to find the length of the other side: 20.5+7.3=27.8
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