Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-4 Solving Radical Equations - Practice and Problem-Solving Exercises - Page 625: 50

Answer

a) $V = 10x^2$ b) $\sqrt {V/10} = x$ c) $2 \leq x \leq 7$ where $x$ is an integer

Work Step by Step

a) $V = 10*x*x = 10x^2$ b) $V=10x^2$ $V/10 = 10x^2/10$ $V/10 = x^2$ $\sqrt {V/10} = \sqrt {x^2}$ $\sqrt {V/10} = x$ c) $\sqrt {V/10} = x$ $\sqrt {40/10} = x$ $\sqrt {4} = x$ $x = 2, -2$ (but we can't have a negative length) $\sqrt {490/10} = x$ $\sqrt {49} = x$ $x=7, -7$ (but we can't have a negative length)
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