Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.4 Quadratic Equations - 1.4 Exercises - Page 123: 92

Answer

See explanations.

Work Step by Step

Step 1. Based on the given equation, let $a=\sqrt 2, b=5, c=-3\sqrt 2$. Step 2. Find the discriminant as: $b^2-4ac=5^2+4(3)(\sqrt 2)^2=49$ Step 3. The solutions do not contradict the discussion in this section because in this case the coefficients $a, c$ are irrationals.
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