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 494: 86

Answer

4.4 and 1.6

Work Step by Step

We are given: $$y=3x^2-18x+56$$ Where x is the day and y is the temperature. We want to find when the temperature was 35, so: $$0=3x^2-18x+21$$ We use the quadratic formula $$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$$ Where b is the coefficient of the term with a variable raised to the first power, a is the coefficient of the squared term, and c is the coefficient of the term without a variable in front of it. This helps us arrive at the answer of: 4.4 and 1.6
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