Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 2 - Section 2.2 - Indirect Proof - Exercises - Page 81: 28


Assume $x^{2}$ $=$ 25. Then, through algebra, we find $x$ = 5. This contradicts the given statement. Thus, the assumption $x^{2}$ $=$ 25 is false, and it follows that $x$ $\ne$ $5$.

Work Step by Step

Work cannot be shown for a proof. Logic is the only work done in such instances. Such work takes place mentally, and therefore cannot be shown.
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